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64258056 = 2333521571
BaseRepresentation
bin1111010100100…
…0000000001000
311110220122111000
43311020000020
5112422224211
610213135000
71410120162
oct365100010
9143818430
1064258056
11332aa035
121962a460
131040b125
148769932
155994656
hex3d48008

64258056 has 64 divisors (see below), whose sum is σ = 179150400. Its totient is φ = 21340800.

The previous prime is 64258049. The next prime is 64258081. The reversal of 64258056 is 65085246.

64258056 is a `hidden beast` number, since 642 + 5 + 8 + 0 + 5 + 6 = 666.

64258056 is nontrivially palindromic in base 5.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64258056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112251 + ... + 112821.

It is an arithmetic number, because the mean of its divisors is an integer number (2799225).

Almost surely, 264258056 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 64258056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89575200).

64258056 is an abundant number, since it is smaller than the sum of its proper divisors (114892344).

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

64258056 is a wasteful number, since it uses less digits than its factorization.

64258056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 64258056 is about 8016.1122746628. The cubic root of 64258056 is about 400.5368957018.

The spelling of 64258056 in words is "sixty-four million, two hundred fifty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 521 571 1042 1142 1563 1713 2084 2284 3126 3426 4168 4568 4689 5139 6252 6852 9378 10278 12504 13704 14067 15417 18756 20556 28134 30834 37512 41112 56268 61668 112536 123336 297491 594982 892473 1189964 1784946 2379928 2677419 3569892 5354838 7139784 8032257 10709676 16064514 21419352 32129028 64258056