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59056896 = 283131587
BaseRepresentation
bin1110000101001…
…0001100000000
311010010101211110
43201102030000
5110104310041
65505443320
71314655353
oct341221400
9133111743
1059056896
1130377358
1217940540
13c309912
147bb429a
1552b8516
hex3852300

59056896 has 72 divisors (see below), whose sum is σ = 158647104. Its totient is φ = 19502080.

The previous prime is 59056889. The next prime is 59056901. The reversal of 59056896 is 69865095.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100315 + ... + 100901.

It is an arithmetic number, because the mean of its divisors is an integer number (2203432).

Almost surely, 259056896 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 59056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79323552).

59056896 is an abundant number, since it is smaller than the sum of its proper divisors (99590208).

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

59056896 is a wasteful number, since it uses less digits than its factorization.

59056896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 59056896 is about 7684.8484695536. The cubic root of 59056896 is about 389.4247403236.

The spelling of 59056896 in words is "fifty-nine million, fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 524 587 768 786 1048 1174 1572 1761 2096 2348 3144 3522 4192 4696 6288 7044 8384 9392 12576 14088 16768 18784 25152 28176 33536 37568 50304 56352 75136 76897 100608 112704 150272 153794 225408 230691 307588 450816 461382 615176 922764 1230352 1845528 2460704 3691056 4921408 7382112 9842816 14764224 19685632 29528448 59056896