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64631616 = 2637192531
BaseRepresentation
bin1111011010001…
…1001101000000
311111121121220120
43312203031000
5113021202431
610225140240
71413234240
oct366431500
9144547816
1064631616
1133534765
121978a680
131050c17a
148825b20
155a1a196
hex3da3340

64631616 has 112 divisors (see below), whose sum is σ = 205800960. Its totient is φ = 17487360.

The previous prime is 64631599. The next prime is 64631653. The reversal of 64631616 is 61613646.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 24271 + ... + 26801.

Almost surely, 264631616 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 64631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102900480).

64631616 is an abundant number, since it is smaller than the sum of its proper divisors (141169344).

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

64631616 is a wasteful number, since it uses less digits than its factorization.

64631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2562 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 64631616 is about 8039.3790805012. The cubic root of 64631616 is about 401.3115614826.

The spelling of 64631616 in words is "sixty-four million, six hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 2531 3192 3648 4256 5062 6384 7593 8512 10124 12768 15186 17717 20248 25536 30372 35434 40496 48089 53151 60744 70868 80992 96178 106302 121488 141736 144267 161984 192356 212604 242976 283472 288534 336623 384712 425208 485952 566944 577068 673246 769424 850416 1009869 1133888 1154136 1346492 1538848 1700832 2019738 2308272 2692984 3077696 3401664 4039476 4616544 5385968 8078952 9233088 10771936 16157904 21543872 32315808 64631616