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40139904 = 2737109137
BaseRepresentation
bin1001100100011…
…1110010000000
32210112022121010
42121013302000
540233434104
63552200520
7665116650
oct231076200
983468533
1040139904
1120726782
1211539140
13841542c
14548c360
1537cd489
hex2647c80

40139904 has 128 divisors (see below), whose sum is σ = 123868800. Its totient is φ = 11280384.

The previous prime is 40139893. The next prime is 40139917. The reversal of 40139904 is 40993104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×401399042 = 3222423786258432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292924 + ... + 293060.

It is an arithmetic number, because the mean of its divisors is an integer number (967725).

Almost surely, 240139904 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 40139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61934400).

40139904 is an abundant number, since it is smaller than the sum of its proper divisors (83728896).

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

40139904 is a wasteful number, since it uses less digits than its factorization.

40139904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 40139904 is about 6335.6060483588. The cubic root of 40139904 is about 342.3934461726.

The spelling of 40139904 in words is "forty million, one hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 109 112 128 137 168 192 218 224 274 327 336 384 411 436 448 548 654 672 763 822 872 896 959 1096 1308 1344 1526 1644 1744 1918 2192 2289 2616 2688 2877 3052 3288 3488 3836 4384 4578 5232 5754 6104 6576 6976 7672 8768 9156 10464 11508 12208 13152 13952 14933 15344 17536 18312 20928 23016 24416 26304 29866 30688 36624 41856 44799 46032 48832 52608 59732 61376 73248 89598 92064 97664 104531 119464 122752 146496 179196 184128 209062 238928 292992 313593 358392 368256 418124 477856 627186 716784 836248 955712 1254372 1433568 1672496 1911424 2508744 2867136 3344992 5017488 5734272 6689984 10034976 13379968 20069952 40139904