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40490736 = 243111317347
BaseRepresentation
bin1001101001110…
…1011011110000
32211012010211220
42122131123300
540331200421
64003505040
71001110536
oct232353360
984163756
1040490736
1120946320
1211688180
138509020
145540156
15384c3c6
hex269d6f0

40490736 has 160 divisors (see below), whose sum is σ = 130491648. Its totient is φ = 10629120.

The previous prime is 40490731. The next prime is 40490759. The reversal of 40490736 is 63709404.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40490697 and 40490706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40490731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116515 + ... + 116861.

Almost surely, 240490736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40490736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65245824).

40490736 is an abundant number, since it is smaller than the sum of its proper divisors (90000912).

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

40490736 is a wasteful number, since it uses less digits than its factorization.

40490736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 40490736 is about 6363.2331404719. The cubic root of 40490736 is about 343.3880864909.

The spelling of 40490736 in words is "forty million, four hundred ninety thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 17 22 24 26 33 34 39 44 48 51 52 66 68 78 88 102 104 132 136 143 156 176 187 204 208 221 264 272 286 312 347 374 408 429 442 528 561 572 624 663 694 748 816 858 884 1041 1122 1144 1326 1388 1496 1716 1768 2082 2244 2288 2431 2652 2776 2992 3432 3536 3817 4164 4488 4511 4862 5304 5552 5899 6864 7293 7634 8328 8976 9022 9724 10608 11451 11798 13533 14586 15268 16656 17697 18044 19448 22902 23596 27066 29172 30536 35394 36088 38896 45804 47192 49621 54132 58344 61072 64889 70788 72176 76687 91608 94384 99242 108264 116688 129778 141576 148863 153374 183216 194667 198484 216528 230061 259556 283152 297726 306748 389334 396968 460122 519112 595452 613496 778668 793936 843557 920244 1038224 1190904 1226992 1557336 1687114 1840488 2381808 2530671 3114672 3374228 3680976 5061342 6748456 10122684 13496912 20245368 40490736