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40089792 = 263593539
BaseRepresentation
bin1001100011101…
…1100011000000
32210102202212010
42120323203000
540230333132
63551132520
7664520601
oct230734300
983382763
1040089792
11206a2066
1211514140
1383c8692
145477da8
1537bd6cc
hex263b8c0

40089792 has 56 divisors (see below), whose sum is σ = 107899200. Its totient is φ = 13133056.

The previous prime is 40089779. The next prime is 40089811. The reversal of 40089792 is 29798004.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40089792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9559 + ... + 13097.

Almost surely, 240089792 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 40089792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53949600).

40089792 is an abundant number, since it is smaller than the sum of its proper divisors (67809408).

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

40089792 is a wasteful number, since it uses less digits than its factorization.

40089792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 40089792 is about 6331.6500219137. The cubic root of 40089792 is about 342.2509016900.

The spelling of 40089792 in words is "forty million, eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3539 3776 5664 7078 10617 11328 14156 21234 28312 42468 56624 84936 113248 169872 208801 226496 339744 417602 626403 679488 835204 1252806 1670408 2505612 3340816 5011224 6681632 10022448 13363264 20044896 40089792