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40164832 = 253733923
BaseRepresentation
bin1001100100110…
…1110111100000
32210120120210101
42121031313200
540240233312
63552512144
7665252431
oct231156740
983516711
1040164832
1120743484
121154b654
138423896
145497488
1537d5a57
hex264dde0

40164832 has 24 divisors (see below), whose sum is σ = 81214056. Its totient is φ = 19539072.

The previous prime is 40164821. The next prime is 40164857. The reversal of 40164832 is 23846104.

40164832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×401648323 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40164832.

It is a congruent number.

It is an unprimeable number.

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, 15778 + ... + 18145.

It is an arithmetic number, because the mean of its divisors is an integer number (3383919).

Almost surely, 240164832 is an apocalyptic number.

It is an amenable number.

40164832 is an abundant number, since it is smaller than the sum of its proper divisors (41049224).

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

40164832 is a wasteful number, since it uses less digits than its factorization.

40164832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33970 (or 33962 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 40164832 is about 6337.5730370545. The cubic root of 40164832 is about 342.4643101320.

The spelling of 40164832 in words is "forty million, one hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 33923 67846 135692 271384 542768 1085536 1255151 2510302 5020604 10041208 20082416 40164832