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47089728 = 2633717229
BaseRepresentation
bin1011001110100…
…0100001000000
310021121101222000
42303220201000
544023332403
64401144000
71111153560
oct263504100
9107541860
1047089728
1124643234
121392b000
1399a985a
14637ada0
1542027a3
hex2ce8840

47089728 has 224 divisors, whose sum is σ = 168249600. Its totient is φ = 12607488.

The previous prime is 47089703. The next prime is 47089739. The reversal of 47089728 is 82798074.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×470897282 = 4434884966227968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205518 + ... + 205746.

Almost surely, 247089728 is an apocalyptic number.

47089728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84124800).

47089728 is an abundant number, since it is smaller than the sum of its proper divisors (121159872).

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

47089728 is a wasteful number, since it uses less digits than its factorization.

47089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 47089728 is about 6862.1955670179. The cubic root of 47089728 is about 361.1121164539.

The spelling of 47089728 in words is "forty-seven million, eighty-nine thousand, seven hundred twenty-eight".