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40040880 = 24351129523
BaseRepresentation
bin1001100010111…
…1100110110000
32210100021202120
42120233212300
540222302010
63550114240
7664225155
oct230574660
983307676
1040040880
1120669340
12114ab980
1383ac339
14546422c
1537ade70
hex262f9b0

40040880 has 160 divisors (see below), whose sum is σ = 140348160. Its totient is φ = 9354240.

The previous prime is 40040873. The next prime is 40040893. The reversal of 40040880 is 8804004.

40040880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 40040880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76299 + ... + 76821.

It is an arithmetic number, because the mean of its divisors is an integer number (877176).

Almost surely, 240040880 is an apocalyptic number.

40040880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40040880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70174080).

40040880 is an abundant number, since it is smaller than the sum of its proper divisors (100307280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40040880 is a wasteful number, since it uses less digits than its factorization.

40040880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40040880 is about 6327.7863427900. The cubic root of 40040880 is about 342.1116560292. Note that the first 3 decimals are identical.

Adding to 40040880 its reverse (8804004), we get a palindrome (48844884).

The spelling of 40040880 in words is "forty million, forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 523 528 580 638 660 696 870 880 957 1046 1160 1276 1320 1392 1569 1595 1740 1914 2092 2320 2552 2615 2640 3138 3190 3480 3828 4184 4785 5104 5230 5753 6276 6380 6960 7656 7845 8368 9570 10460 11506 12552 12760 15167 15312 15690 17259 19140 20920 23012 25104 25520 28765 30334 31380 34518 38280 41840 45501 46024 57530 60668 62760 69036 75835 76560 86295 91002 92048 115060 121336 125520 138072 151670 166837 172590 182004 227505 230120 242672 276144 303340 333674 345180 364008 455010 460240 500511 606680 667348 690360 728016 834185 910020 1001022 1213360 1334696 1380720 1668370 1820040 2002044 2502555 2669392 3336740 3640080 4004088 5005110 6673480 8008176 10010220 13346960 20020440 40040880