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64586742 = 2311472443
BaseRepresentation
bin1111011001100…
…0001111110110
311111112100100120
43312120033312
5113013233432
610224152410
71412656353
oct366301766
9144470316
1064586742
1133503a80
1219768706
13104c490c
14881362a
155a0bc2c
hex3d983f6

64586742 has 48 divisors (see below), whose sum is σ = 144303552. Its totient is φ = 19112080.

The previous prime is 64586707. The next prime is 64586759. The reversal of 64586742 is 24768546.

It is a junction number, because it is equal to n+sod(n) for n = 64586694 and 64586703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145573 + ... + 146015.

It is an arithmetic number, because the mean of its divisors is an integer number (3006324).

Almost surely, 264586742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64586742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72151776).

64586742 is an abundant number, since it is smaller than the sum of its proper divisors (79716810).

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

64586742 is a wasteful number, since it uses less digits than its factorization.

64586742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 506 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 64586742 is about 8036.5877087231. The cubic root of 64586742 is about 401.2186625501.

The spelling of 64586742 in words is "sixty-four million, five hundred eighty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 443 517 886 1034 1329 1551 2209 2658 3102 4418 4873 6627 9746 13254 14619 20821 24299 29238 41642 48598 62463 72897 124926 145794 229031 458062 687093 978587 1374186 1957174 2935761 5871522 10764457 21528914 32293371 64586742