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64813476 = 223721361139
BaseRepresentation
bin1111011100111…
…1100110100100
311111221212101010
43313033212210
5113043012401
610233102220
71414622400
oct367174644
9144855333
1064813476
1133649362
1219857970
1310573b90
148872100
155a53ed6
hex3dcf9a4

64813476 has 144 divisors (see below), whose sum is σ = 193945920. Its totient is φ = 16692480.

The previous prime is 64813459. The next prime is 64813477. The reversal of 64813476 is 67431846.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64813477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466215 + ... + 466353.

Almost surely, 264813476 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 64813476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96972960).

64813476 is an abundant number, since it is smaller than the sum of its proper divisors (129132444).

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

64813476 is a wasteful number, since it uses less digits than its factorization.

64813476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 64813476 is about 8050.6817102653. The cubic root of 64813476 is about 401.6876115713.

The spelling of 64813476 in words is "sixty-four million, eight hundred thirteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 61 78 84 91 98 122 139 147 156 182 183 196 244 273 278 294 364 366 417 427 546 556 588 637 732 793 834 854 973 1092 1274 1281 1586 1668 1708 1807 1911 1946 2379 2548 2562 2919 2989 3172 3614 3822 3892 4758 5124 5421 5551 5838 5978 6811 7228 7644 8479 8967 9516 10842 11102 11676 11956 12649 13622 16653 16958 17934 20433 21684 22204 25298 25437 27244 33306 33916 35868 37947 38857 40866 50596 50874 59353 66612 75894 77714 81732 88543 101748 110227 116571 118706 151788 155428 177086 178059 220454 233142 237412 265629 330681 354172 356118 415471 440908 466284 531258 661362 712236 771589 830942 1062516 1246413 1322724 1543178 1661884 2314767 2492826 3086356 4629534 4985652 5401123 9259068 10802246 16203369 21604492 32406738 64813476