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64265472 = 283227893
BaseRepresentation
bin1111010100100…
…1110100000000
311110221000122200
43311021310000
5112422443342
610213233200
71410150615
oct365116400
9143830580
1064265472
1133304667
1219632800
131041160b
14876c50c
15599694c
hex3d49d00

64265472 has 54 divisors (see below), whose sum is σ = 185299842. Its totient is φ = 21421056.

The previous prime is 64265471. The next prime is 64265503. The reversal of 64265472 is 27456246.

64265472 is a `hidden beast` number, since 642 + 6 + 5 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64256256 + 9216 = 8016^2 + 96^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64265471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11643 + ... + 16250.

Almost surely, 264265472 is an apocalyptic number.

It is an amenable number.

64265472 is an abundant number, since it is smaller than the sum of its proper divisors (121034370).

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

64265472 is a wasteful number, since it uses less digits than its factorization.

64265472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27915 (or 27898 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 64265472 is about 8016.5748296888. The cubic root of 64265472 is about 400.5523037172.

It can be divided in two parts, 642 and 65472, that multiplied together give a palindrome (42033024).

The spelling of 64265472 in words is "sixty-four million, two hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 27893 55786 83679 111572 167358 223144 251037 334716 446288 502074 669432 892576 1004148 1338864 1785152 2008296 2677728 3570304 4016592 5355456 7140608 8033184 10710912 16066368 21421824 32132736 64265472