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64642104 = 2333192829
BaseRepresentation
bin1111011010010…
…1110000111000
311111122011022000
43312211300320
5113022021404
610225301000
71413306642
oct366456070
9144564260
1064642104
113354162a
1219794760
1310513b87
148829892
155a1d339
hex3da5c38

64642104 has 96 divisors (see below), whose sum is σ = 189738000. Its totient is φ = 20388672.

The previous prime is 64642057. The next prime is 64642133. The reversal of 64642104 is 40124646.

64642104 is a `hidden beast` number, since 6 + 4 + 642 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 77562 + ... + 78390.

Almost surely, 264642104 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 64642104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94869000).

64642104 is an abundant number, since it is smaller than the sum of its proper divisors (125095896).

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

64642104 is a wasteful number, since it uses less digits than its factorization.

64642104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64642104 is about 8040.0313432225. The cubic root of 64642104 is about 401.3332677221. Note that the first 3 decimals are identical.

It can be divided in two parts, 64642 and 104, that added together give a palindrome (64746).

The spelling of 64642104 in words is "sixty-four million, six hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 829 1026 1083 1368 1444 1658 2052 2166 2487 2888 3249 3316 4104 4332 4974 6498 6632 7461 8664 9747 9948 12996 14922 15751 19494 19896 22383 25992 29844 31502 38988 44766 47253 59688 63004 77976 89532 94506 126008 141759 179064 189012 283518 299269 378024 425277 567036 598538 850554 897807 1134072 1197076 1701108 1795614 2394152 2693421 3402216 3591228 5386842 7182456 8080263 10773684 16160526 21547368 32321052 64642104