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64386432 = 2732115081
BaseRepresentation
bin1111010110011…
…1010110000000
311111011011120200
43311213112000
5112440331212
610220005200
71411163355
oct365472600
9144134520
1064386432
1133387530
1219690800
13104546a6
1487a062c
1559bc6dc
hex3d67580

64386432 has 96 divisors (see below), whose sum is σ = 202161960. Its totient is φ = 19507200.

The previous prime is 64386431. The next prime is 64386461. The reversal of 64386432 is 23468346.

It is a happy number.

64386432 is a `hidden beast` number, since 6 + 4 + 3 + 8 + 643 + 2 = 666.

64386432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×643864322 = 8291225251381248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64386431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10132 + ... + 15212.

Almost surely, 264386432 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 64386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101080980).

64386432 is an abundant number, since it is smaller than the sum of its proper divisors (137775528).

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

64386432 is a wasteful number, since it uses less digits than its factorization.

64386432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5097 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 64386432 is about 8024.1156522074. The cubic root of 64386432 is about 400.8034517493.

The spelling of 64386432 in words is "sixty-four million, three hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 5081 6336 10162 12672 15243 20324 30486 40648 45729 55891 60972 81296 91458 111782 121944 162592 167673 182916 223564 243888 325184 335346 365832 447128 487776 503019 650368 670692 731664 894256 975552 1006038 1341384 1463328 1788512 1951104 2012076 2682768 2926656 3577024 4024152 5365536 5853312 7154048 8048304 10731072 16096608 21462144 32193216 64386432