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40993164 = 22325991901
BaseRepresentation
bin1001110001100…
…0000110001100
32212010200001100
42130120012030
540443240124
64022343100
71005302412
oct234300614
985120040
1040993164
1121159853
121188aa90
138653914
1456312b2
1538eb1c9
hex271818c

40993164 has 36 divisors (see below), whose sum is σ = 103849200. Its totient is φ = 13634400.

The previous prime is 40993163. The next prime is 40993181. The reversal of 40993164 is 46139904.

40993164 is a `hidden beast` number, since 409 + 93 + 164 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40993163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20614 + ... + 22514.

It is an arithmetic number, because the mean of its divisors is an integer number (2884700).

Almost surely, 240993164 is an apocalyptic number.

It is an amenable number.

40993164 is an abundant number, since it is smaller than the sum of its proper divisors (62856036).

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

40993164 is a wasteful number, since it uses less digits than its factorization.

40993164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 40993164 is about 6402.5904132624. The cubic root of 40993164 is about 344.8025587348.

The spelling of 40993164 in words is "forty million, nine hundred ninety-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 599 1198 1797 1901 2396 3594 3802 5391 5703 7188 7604 10782 11406 17109 21564 22812 34218 68436 1138699 2277398 3416097 4554796 6832194 10248291 13664388 20496582 40993164