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64435712 = 291117673
BaseRepresentation
bin1111010111001…
…1011000000000
311111020200011212
43311303120000
5112443420322
610221025252
71411460135
oct365633000
9144220155
1064435712
1133410560
12196b5228
1310470c53
1487b458c
1559cc0e2
hex3d73600

64435712 has 80 divisors (see below), whose sum is σ = 148932432. Its totient is φ = 27525120.

The previous prime is 64435711. The next prime is 64435727. The reversal of 64435712 is 21753446.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64435711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95408 + ... + 96080.

Almost surely, 264435712 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 64435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74466216).

64435712 is an abundant number, since it is smaller than the sum of its proper divisors (84496720).

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

64435712 is a wasteful number, since it uses less digits than its factorization.

64435712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 703 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 64435712 is about 8027.1858082394. The cubic root of 64435712 is about 400.9056811398.

The spelling of 64435712 in words is "sixty-four million, four hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 673 704 748 1088 1346 1408 1496 2176 2692 2816 2992 4352 5384 5632 5984 7403 8704 10768 11441 11968 14806 21536 22882 23936 29612 43072 45764 47872 59224 86144 91528 95744 118448 125851 172288 183056 236896 251702 344576 366112 473792 503404 732224 947584 1006808 1464448 1895168 2013616 2928896 3790336 4027232 5857792 8054464 16108928 32217856 64435712