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42505056 = 25321113417
BaseRepresentation
bin1010001000100…
…1001101100000
32221222110222100
42202021031200
541340130211
64115010400
71024200306
oct242111540
987873870
1042505056
1121aa1750
1212299a00
138a62b29
145906276
153ae9156
hex2889360

42505056 has 72 divisors (see below), whose sum is σ = 131872104. Its totient is φ = 12879360.

The previous prime is 42505051. The next prime is 42505103. The reversal of 42505056 is 65050524.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42505051) 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, 3541 + ... + 9876.

It is an arithmetic number, because the mean of its divisors is an integer number (1831557).

Almost surely, 242505056 is an apocalyptic number.

It is an amenable number.

42505056 is an abundant number, since it is smaller than the sum of its proper divisors (89367048).

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

42505056 is a wasteful number, since it uses less digits than its factorization.

42505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13444 (or 13433 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 42505056 is about 6519.5901711687. The cubic root of 42505056 is about 348.9904404297.

The spelling of 42505056 in words is "forty-two million, five hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 13417 26834 40251 53668 80502 107336 120753 147587 161004 214672 241506 295174 322008 429344 442761 483012 590348 644016 885522 966024 1180696 1288032 1328283 1771044 1932048 2361392 2656566 3542088 3864096 4722784 5313132 7084176 10626264 14168352 21252528 42505056