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64485252 = 223213227607
BaseRepresentation
bin1111010111111…
…1011110000100
311111100012010200
43311333132010
5113002012002
610222050500
71412054436
oct365773604
9144305120
1064485252
11334447a7
1219719a30
131048a670
1487c8656
1559dbb1c
hex3d7f784

64485252 has 72 divisors (see below), whose sum is σ = 176606976. Its totient is φ = 19721664.

The previous prime is 64485247. The next prime is 64485257. The reversal of 64485252 is 25258446.

It is a happy number.

64485252 is a `hidden beast` number, since 644 + 8 + 5 + 2 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (64485247) and next prime (64485257).

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

It is not an unprimeable number, because it can be changed into a prime (64485257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105933 + ... + 106539.

Almost surely, 264485252 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 64485252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88303488).

64485252 is an abundant number, since it is smaller than the sum of its proper divisors (112121724).

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

64485252 is a wasteful number, since it uses less digits than its factorization.

64485252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 852 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 64485252 is about 8030.2709792385. The cubic root of 64485252 is about 401.0083973673.

The spelling of 64485252 in words is "sixty-four million, four hundred eighty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 227 234 454 468 607 681 908 1214 1362 1821 2043 2428 2724 2951 3642 4086 5463 5902 7284 7891 8172 8853 10926 11804 15782 17706 21852 23673 26559 31564 35412 47346 53118 71019 94692 106236 137789 142038 275578 284076 413367 551156 826734 1240101 1653468 1791257 2480202 3582514 4960404 5373771 7165028 10747542 16121313 21495084 32242626 64485252