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40987104 = 2531923977
BaseRepresentation
bin1001110001011…
…0100111100000
32212010100201220
42130112213200
540443041404
64022255040
71005245634
oct234264740
985110656
1040987104
1121155244
1211887480
138650c32
14562cdc4
1538e94d9
hex27169e0

40987104 has 96 divisors (see below), whose sum is σ = 118298880. Its totient is φ = 12367872.

The previous prime is 40987103. The next prime is 40987109. The reversal of 40987104 is 40178904.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40987103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41464 + ... + 42440.

It is an arithmetic number, because the mean of its divisors is an integer number (1232280).

Almost surely, 240987104 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 40987104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59149440).

40987104 is an abundant number, since it is smaller than the sum of its proper divisors (77311776).

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

40987104 is a wasteful number, since it uses less digits than its factorization.

40987104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 40987104 is about 6402.1171498185. The cubic root of 40987104 is about 344.7855672312.

The spelling of 40987104 in words is "forty million, nine hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 552 608 736 874 912 977 1104 1311 1748 1824 1954 2208 2622 2931 3496 3908 5244 5862 6992 7816 10488 11724 13984 15632 18563 20976 22471 23448 31264 37126 41952 44942 46896 55689 67413 74252 89884 93792 111378 134826 148504 179768 222756 269652 297008 359536 426949 445512 539304 594016 719072 853898 891024 1078608 1280847 1707796 1782048 2157216 2561694 3415592 5123388 6831184 10246776 13662368 20493552 40987104