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64492520 = 23529531049
BaseRepresentation
bin1111011000000…
…1001111101000
311111100120002212
43312001033220
5113002230040
610222144252
71412114561
oct366011750
9144316085
1064492520
113344a204
1219722088
1310490a71
1487cb168
1559ddd65
hex3d813e8

64492520 has 64 divisors (see below), whose sum is σ = 153090000. Its totient is φ = 24414208.

The previous prime is 64492511. The next prime is 64492531. The reversal of 64492520 is 2529446.

64492520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 50098084 + 14394436 = 7078^2 + 3794^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60956 + ... + 62004.

Almost surely, 264492520 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 64492520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76545000).

64492520 is an abundant number, since it is smaller than the sum of its proper divisors (88597480).

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

64492520 is a wasteful number, since it uses less digits than its factorization.

64492520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 64492520 is about 8030.7235041433. The cubic root of 64492520 is about 401.0234624116.

The spelling of 64492520 in words is "sixty-four million, four hundred ninety-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 530 580 1049 1060 1160 1537 2098 2120 3074 4196 5245 6148 7685 8392 10490 12296 15370 20980 30421 30740 41960 55597 60842 61480 111194 121684 152105 222388 243368 277985 304210 444776 555970 608420 1111940 1216840 1612313 2223880 3224626 6449252 8061565 12898504 16123130 32246260 64492520