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42556896 = 25321071381
BaseRepresentation
bin1010001001010…
…1110111100000
32222002010002100
42202111313200
541343310041
64120050400
71024504404
oct242256740
988063070
1042556896
1122027698
1212303a00
138a805c5
14591b104
153b096b6
hex2895de0

42556896 has 72 divisors (see below), whose sum is σ = 122240664. Its totient is φ = 14042880.

The previous prime is 42556889. The next prime is 42556909. The reversal of 42556896 is 69865524.

42556896 is a `hidden beast` number, since 4 + 2 + 556 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×425568962 = 3622178794309632, which contains 22 as substring.

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, 30126 + ... + 31506.

It is an arithmetic number, because the mean of its divisors is an integer number (1697787).

Almost surely, 242556896 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 42556896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61120332).

42556896 is an abundant number, since it is smaller than the sum of its proper divisors (79683768).

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

42556896 is a wasteful number, since it uses less digits than its factorization.

42556896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1493 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 42556896 is about 6523.5646697185. The cubic root of 42556896 is about 349.1322613182.

The spelling of 42556896 in words is "forty-two million, five hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1381 1712 1926 2568 2762 3424 3852 4143 5136 5524 7704 8286 10272 11048 12429 15408 16572 22096 24858 30816 33144 44192 49716 66288 99432 132576 147767 198864 295534 397728 443301 591068 886602 1182136 1329903 1773204 2364272 2659806 3546408 4728544 5319612 7092816 10639224 14185632 21278448 42556896