Search a number
-
+
41995520 = 285743109
BaseRepresentation
bin1010000000110…
…0110100000000
32221000121000122
42200030310000
541222324040
64100035412
71016645630
oct240146400
987017018
1041995520
1121783946
1212092b68
138914c28
1458126c0
153a481b5
hex280cd00

41995520 has 144 divisors (see below), whose sum is σ = 118715520. Its totient is φ = 13934592.

The previous prime is 41995517. The next prime is 41995537. The reversal of 41995520 is 2559914.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385226 + ... + 385334.

Almost surely, 241995520 is an apocalyptic number.

41995520 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 41995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59357760).

41995520 is an abundant number, since it is smaller than the sum of its proper divisors (76720000).

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

41995520 is a wasteful number, since it uses less digits than its factorization.

41995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 41995520 is about 6480.3950496864. The cubic root of 41995520 is about 347.5903048433.

The spelling of 41995520 in words is "forty-one million, nine hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 109 112 128 140 160 172 215 218 224 256 280 301 320 344 430 436 448 545 560 602 640 688 763 860 872 896 1090 1120 1204 1280 1376 1505 1526 1720 1744 1792 2180 2240 2408 2752 3010 3052 3440 3488 3815 4360 4480 4687 4816 5504 6020 6104 6880 6976 7630 8720 8960 9374 9632 11008 12040 12208 13760 13952 15260 17440 18748 19264 23435 24080 24416 27520 27904 30520 32809 34880 37496 38528 46870 48160 48832 55040 61040 65618 69760 74992 77056 93740 96320 97664 122080 131236 139520 149984 164045 187480 192640 195328 244160 262472 299968 328090 374960 385280 488320 524944 599936 656180 749920 976640 1049888 1199872 1312360 1499840 2099776 2624720 2999680 4199552 5249440 5999360 8399104 10498880 20997760 41995520