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64211472 = 24321334301
BaseRepresentation
bin1111010011110…
…0101000010000
311110211021120200
43310330220100
5112414231342
610212135200
71406534313
oct364745020
9143737520
1064211472
1133278036
1219607500
13103c2b70
14875697a
15598594c
hex3d3ca10

64211472 has 60 divisors (see below), whose sum is σ = 193531884. Its totient is φ = 19756800.

The previous prime is 64211443. The next prime is 64211479. The reversal of 64211472 is 27411246.

64211472 is a `hidden beast` number, since 642 + 1 + 14 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7420176 + 56791296 = 2724^2 + 7536^2 .

It is a super-2 number, since 2×642114722 = 8246226272813568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64211479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15279 + ... + 19022.

Almost surely, 264211472 is an apocalyptic number.

It is an amenable number.

64211472 is an abundant number, since it is smaller than the sum of its proper divisors (129320412).

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

64211472 is a wasteful number, since it uses less digits than its factorization.

64211472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34328 (or 34319 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 64211472 is about 8013.2060999328. The cubic root of 64211472 is about 400.4400823080.

The spelling of 64211472 in words is "sixty-four million, two hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 34301 68602 102903 137204 205806 274408 308709 411612 445913 548816 617418 823224 891826 1234836 1337739 1646448 1783652 2469672 2675478 3567304 4013217 4939344 5350956 7134608 8026434 10701912 16052868 21403824 32105736 64211472