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64493632 = 267359401
BaseRepresentation
bin1111011000000…
…1100001000000
311111100121122001
43312001201000
5113002244012
610222153344
71412121040
oct366014100
9144317561
1064493632
1133450025
1219722854
1310491418
1487cb720
1559de357
hex3d81840

64493632 has 56 divisors (see below), whose sum is σ = 147035520. Its totient is φ = 27494400.

The previous prime is 64493629. The next prime is 64493659. The reversal of 64493632 is 23639446.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 64493591 and 64493600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160632 + ... + 161032.

Almost surely, 264493632 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 64493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73517760).

64493632 is an abundant number, since it is smaller than the sum of its proper divisors (82541888).

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

64493632 is a wasteful number, since it uses less digits than its factorization.

64493632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its digits is 93312, while the sum is 37.

The square root of 64493632 is about 8030.7927379556. The cubic root of 64493632 is about 401.0257672553.

The spelling of 64493632 in words is "sixty-four million, four hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 359 401 448 718 802 1436 1604 2513 2807 2872 3208 5026 5614 5744 6416 10052 11228 11488 12832 20104 22456 22976 25664 40208 44912 80416 89824 143959 160832 179648 287918 575836 1007713 1151672 2015426 2303344 4030852 4606688 8061704 9213376 16123408 32246816 64493632