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42578964 = 223210311483
BaseRepresentation
bin1010001001101…
…1010000010100
32222010020100200
42202123100110
541400011324
64120340500
71024625631
oct242332024
988106320
1042578964
112204222a
1212314730
138a8a66c
145925188
153b10ec9
hex289b414

42578964 has 36 divisors (see below), whose sum is σ = 108684576. Its totient is φ = 14053968.

The previous prime is 42578959. The next prime is 42578993. The reversal of 42578964 is 46987524.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2034 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (3019016).

Almost surely, 242578964 is an apocalyptic number.

It is an amenable number.

42578964 is an abundant number, since it is smaller than the sum of its proper divisors (66105612).

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

42578964 is a wasteful number, since it uses less digits than its factorization.

42578964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596 (or 11591 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42578964 is about 6525.2558570527. The cubic root of 42578964 is about 349.1925987339.

The spelling of 42578964 in words is "forty-two million, five hundred seventy-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 11483 22966 34449 45932 68898 103347 137796 206694 413388 1182749 2365498 3548247 4730996 7096494 10644741 14192988 21289482 42578964