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64787272 = 231121731127
BaseRepresentation
bin1111011100100…
…1001101001000
311111220112102121
43313021031020
5113041143042
610232341024
71414453114
oct367111510
9144815377
1064787272
1133630700
1219844774
1310564c84
148866744
155a4b367
hex3dc9348

64787272 has 96 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 26611200.

The previous prime is 64787263. The next prime is 64787279. The reversal of 64787272 is 27278746.

64787272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×647872722 = 8394781226403968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64787279) 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 23 ways as a sum of consecutive naturals, for example, 510073 + ... + 510199.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 264787272 is an apocalyptic number.

64787272 is a gapful number since it is divisible by the number (62) 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 64787272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

64787272 is an abundant number, since it is smaller than the sum of its proper divisors (82300088).

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

64787272 is a wasteful number, since it uses less digits than its factorization.

64787272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its digits is 263424, while the sum is 43.

The square root of 64787272 is about 8049.0541059183. The cubic root of 64787272 is about 401.6334703563.

The spelling of 64787272 in words is "sixty-four million, seven hundred eighty-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 121 124 127 136 187 242 248 254 341 374 484 508 527 682 748 968 1016 1054 1364 1397 1496 2057 2108 2159 2728 2794 3751 3937 4114 4216 4318 5588 5797 7502 7874 8228 8636 11176 11594 15004 15367 15748 16456 17272 23188 23749 30008 30734 31496 43307 46376 47498 61468 63767 66929 86614 94996 122936 127534 133858 173228 189992 255068 261239 267716 346456 476377 510136 522478 535432 736219 952754 1044956 1472438 1905508 2089912 2944876 3811016 5889752 8098409 16196818 32393636 64787272