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40832464 = 242988001
BaseRepresentation
bin1001101111000…
…0110111010000
32211211111121111
42123300313100
540423114324
64015103104
71004033041
oct233606720
984744544
1040832464
112105a042
1211811a94
1385c872a
1455cc8c8
1538b8794
hex26f0dd0

40832464 has 20 divisors (see below), whose sum is σ = 81841860. Its totient is φ = 19712000.

The previous prime is 40832461. The next prime is 40832503. The reversal of 40832464 is 46423804.

40832464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 32947600 = 2808^2 + 5740^2 .

It is a super-2 number, since 2×408324642 = 3334580232622592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40832461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43537 + ... + 44464.

It is an arithmetic number, because the mean of its divisors is an integer number (4092093).

Almost surely, 240832464 is an apocalyptic number.

It is an amenable number.

40832464 is an abundant number, since it is smaller than the sum of its proper divisors (41009396).

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

40832464 is a wasteful number, since it uses less digits than its factorization.

40832464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88038 (or 88032 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 40832464 is about 6390.0284819397. The cubic root of 40832464 is about 344.3514076238.

The spelling of 40832464 in words is "forty million, eight hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 88001 176002 352004 704008 1408016 2552029 5104058 10208116 20416232 40832464