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40076032 = 28374231
BaseRepresentation
bin1001100011100…
…0001100000000
32210102001222111
42120320030000
540224413112
63550545104
7664432513
oct230701400
983361874
1040076032
1120692797
1211508194
1383c2339
145472d7a
1537b95a7
hex2638300

40076032 has 36 divisors (see below), whose sum is σ = 82176976. Its totient is φ = 19491840.

The previous prime is 40076027. The next prime is 40076039. The reversal of 40076032 is 23067004.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40075994 and 40076012.

It is not an unprimeable number, because it can be changed into a prime (40076039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7357 + ... + 11587.

Almost surely, 240076032 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 40076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41088488).

40076032 is an abundant number, since it is smaller than the sum of its proper divisors (42100944).

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

40076032 is an equidigital number, since it uses as much as digits as its factorization.

40076032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 40076032 is about 6330.5633240652. The cubic root of 40076032 is about 342.2117403385.

Subtracting from 40076032 its reverse (23067004), we obtain a triangular number (17009028 = T5832).

The spelling of 40076032 in words is "forty million, seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4231 4736 8462 9472 16924 33848 67696 135392 156547 270784 313094 541568 626188 1083136 1252376 2504752 5009504 10019008 20038016 40076032