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40412952 = 2333223839
BaseRepresentation
bin1001101000101…
…0011100011000
32211001012011000
42122022130120
540321203302
64002105000
71000335006
oct232123430
984035130
1040412952
11208a2938
121164b160
1384ac7b8
14551da76
15383431c
hex268a718

40412952 has 64 divisors (see below), whose sum is σ = 112896000. Its totient is φ = 13394592.

The previous prime is 40412947. The next prime is 40412971. The reversal of 40412952 is 25921404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 47749 + ... + 48587.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 240412952 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 40412952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448000).

40412952 is an abundant number, since it is smaller than the sum of its proper divisors (72483048).

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

40412952 is a wasteful number, since it uses less digits than its factorization.

40412952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40412952 is about 6357.1182150405. The cubic root of 40412952 is about 343.1680590353.

The spelling of 40412952 in words is "forty million, four hundred twelve thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 223 446 669 839 892 1338 1678 1784 2007 2517 2676 3356 4014 5034 5352 6021 6712 7551 8028 10068 12042 15102 16056 20136 22653 24084 30204 45306 48168 60408 90612 181224 187097 374194 561291 748388 1122582 1496776 1683873 2245164 3367746 4490328 5051619 6735492 10103238 13470984 20206476 40412952