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40035450 = 23527213419
BaseRepresentation
bin1001100010111…
…0010001111010
32210100000022110
42120232101322
540222113300
63550033150
7664203300
oct230562172
983300273
1040035450
1120665254
12114a87b6
1383a9a20
145462270
1537ac550
hex262e47a

40035450 has 144 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 8426880.

The previous prime is 40035431. The next prime is 40035461. The reversal of 40035450 is 5453004.

It is a happy number.

40035450 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 (21).

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 71 ways as a sum of consecutive naturals, for example, 95341 + ... + 95759.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 240035450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40035450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

40035450 is an abundant number, since it is smaller than the sum of its proper divisors (84644070).

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

40035450 is a wasteful number, since it uses less digits than its factorization.

40035450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 40035450 is about 6327.3572682440. The cubic root of 40035450 is about 342.0961905826.

Adding to 40035450 its reverse (5453004), we get a palindrome (45488454).

It can be divided in two parts, 4003 and 5450, that added together give a triangular number (9453 = T137).

The spelling of 40035450 in words is "forty million, thirty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 49 50 65 70 75 78 91 98 105 130 147 150 175 182 195 210 245 273 294 325 350 390 419 455 490 525 546 637 650 735 838 910 975 1050 1225 1257 1274 1365 1470 1911 1950 2095 2275 2450 2514 2730 2933 3185 3675 3822 4190 4550 5447 5866 6285 6370 6825 7350 8799 9555 10475 10894 12570 13650 14665 15925 16341 17598 19110 20531 20950 27235 29330 31425 31850 32682 38129 41062 43995 47775 54470 61593 62850 73325 76258 81705 87990 95550 102655 114387 123186 136175 146650 163410 190645 205310 219975 228774 266903 272350 307965 381290 408525 439950 513275 533806 571935 615930 800709 817050 953225 1026550 1143870 1334515 1539825 1601418 1906450 2669030 2859675 3079650 4003545 5719350 6672575 8007090 13345150 20017725 40035450