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64534464 = 2632181619
BaseRepresentation
bin1111011000101…
…1011111000000
311111102200122100
43312023133000
5113010100324
610223110400
71412351061
oct366133700
9144380570
1064534464
1133478775
1219742400
13104a6b97
1487dc568
1559eb4c9
hex3d8b7c0

64534464 has 84 divisors (see below), whose sum is σ = 186298840. Its totient is φ = 21358080.

The previous prime is 64534453. The next prime is 64534487. The reversal of 64534464 is 46443546.

64534464 is a `hidden beast` number, since 64 + 534 + 4 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103947 + ... + 104565.

Almost surely, 264534464 is an apocalyptic number.

64534464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93149420).

64534464 is an abundant number, since it is smaller than the sum of its proper divisors (121764376).

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

64534464 is a wasteful number, since it uses less digits than its factorization.

64534464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 805 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 64534464 is about 8033.3345504840. The cubic root of 64534464 is about 401.1103814471.

The spelling of 64534464 in words is "sixty-four million, five hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 288 362 543 576 619 724 1086 1238 1448 1629 1857 2172 2476 2896 3258 3714 4344 4952 5571 5792 6516 7428 8688 9904 11142 11584 13032 14856 17376 19808 22284 26064 29712 34752 39616 44568 52128 59424 89136 104256 112039 118848 178272 224078 336117 356544 448156 672234 896312 1008351 1344468 1792624 2016702 2688936 3585248 4033404 5377872 7170496 8066808 10755744 16133616 21511488 32267232 64534464