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47089360 = 2451135209
BaseRepresentation
bin1011001110100…
…0011011010000
310021121101110101
42303220123100
544023324420
64401142144
71111152523
oct263503320
9107541411
1047089360
1124642a2a
121392a954
1399a9636
14637abba
15420260a
hex2ce86d0

47089360 has 40 divisors (see below), whose sum is σ = 110472840. Its totient is φ = 18665472.

The previous prime is 47089327. The next prime is 47089363. The reversal of 47089360 is 6398074.

It can be written as a sum of positive squares in 4 ways, for example, as 4631104 + 42458256 = 2152^2 + 6516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47089363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6436 + ... + 11644.

It is an arithmetic number, because the mean of its divisors is an integer number (2761821).

Almost surely, 247089360 is an apocalyptic number.

47089360 is a gapful number since it is divisible by the number (40) 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 47089360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55236420).

47089360 is an abundant number, since it is smaller than the sum of its proper divisors (63383480).

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

47089360 is a wasteful number, since it uses less digits than its factorization.

47089360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 47089360 is about 6862.1687533898. The cubic root of 47089360 is about 361.1111757703. Note that the first 4 decimals are identical.

The spelling of 47089360 in words is "forty-seven million, eighty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 5209 9040 10418 20836 26045 41672 52090 83344 104180 208360 416720 588617 1177234 2354468 2943085 4708936 5886170 9417872 11772340 23544680 47089360