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64275552 = 2533116763
BaseRepresentation
bin1111010100110…
…0010001100000
311110221112111000
43311030101200
5112423304202
610213352000
71410222165
oct365142140
9143845430
1064275552
11333111a0
1219638600
1310416093
14877206c
15599991c
hex3d4c460

64275552 has 96 divisors (see below), whose sum is σ = 204543360. Its totient is φ = 19474560.

The previous prime is 64275529. The next prime is 64275557. The reversal of 64275552 is 25557246.

64275552 is a `hidden beast` number, since 642 + 7 + 5 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (64275557) 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 15 ways as a sum of consecutive naturals, for example, 6123 + ... + 12885.

It is an arithmetic number, because the mean of its divisors is an integer number (2130660).

Almost surely, 264275552 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 64275552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102271680).

64275552 is an abundant number, since it is smaller than the sum of its proper divisors (140267808).

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

64275552 is a wasteful number, since it uses less digits than its factorization.

64275552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6779 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 64275552 is about 8017.2035024689. The cubic root of 64275552 is about 400.5732447504.

The spelling of 64275552 in words is "sixty-four million, two hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 6763 9504 13526 20289 27052 40578 54104 60867 74393 81156 108208 121734 148786 162312 182601 216416 223179 243468 297572 324624 365202 446358 486936 595144 649248 669537 730404 892716 973872 1190288 1339074 1460808 1785432 1947744 2008611 2380576 2678148 2921616 3570864 4017222 5356296 5843232 7141728 8034444 10712592 16068888 21425184 32137776 64275552