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64374784 = 21117432
BaseRepresentation
bin1111010110010…
…0100000000000
311111010120121021
43311210200000
5112434443114
610215435224
71411114405
oct365444000
9144116537
1064374784
1133379801
1219685b14
131044c2b6
14879a2ac
1559b9024
hex3d64800

64374784 has 72 divisors (see below), whose sum is σ = 139533030. Its totient is φ = 29589504.

The previous prime is 64374763. The next prime is 64374787. The reversal of 64374784 is 48747346.

It can be written as a sum of positive squares in only one way, i.e., 47334400 + 17040384 = 6880^2 + 4128^2 .

It is a super-2 number, since 2×643747842 = 8288225630093312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 64374784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64374787) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1497067 + ... + 1497109.

Almost surely, 264374784 is an apocalyptic number.

64374784 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 64374784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69766515).

64374784 is an abundant number, since it is smaller than the sum of its proper divisors (75158246).

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

64374784 is an equidigital number, since it uses as much as digits as its factorization.

64374784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 62 counting only the distinct ones).

The product of its digits is 451584, while the sum is 43.

The square root of 64374784 is about 8023.3898073071. The cubic root of 64374784 is about 400.7792808176.

The spelling of 64374784 in words is "sixty-four million, three hundred seventy-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 256 272 344 512 544 688 731 1024 1088 1376 1462 1849 2048 2176 2752 2924 3698 4352 5504 5848 7396 8704 11008 11696 14792 17408 22016 23392 29584 31433 34816 44032 46784 59168 62866 88064 93568 118336 125732 187136 236672 251464 374272 473344 502928 748544 946688 1005856 1497088 1893376 2011712 3786752 4023424 8046848 16093696 32187392 64374784