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65631264 = 253719629
BaseRepresentation
bin1111101001011…
…1010000100000
311120111102011120
43322113100200
5113300200024
610302412240
71424566536
oct372272040
9146442146
1065631264
1134057816
1219b91080
131079c18a
148a06156
155b66479
hex3e97420

65631264 has 48 divisors (see below), whose sum is σ = 174726720. Its totient is φ = 21566720.

The previous prime is 65631253. The next prime is 65631281. The reversal of 65631264 is 46213656.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2002 + ... + 11630.

It is an arithmetic number, because the mean of its divisors is an integer number (3640140).

Almost surely, 265631264 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 65631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87363360).

65631264 is an abundant number, since it is smaller than the sum of its proper divisors (109095456).

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

65631264 is a wasteful number, since it uses less digits than its factorization.

65631264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713 (or 9705 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 65631264 is about 8101.3124862580. The cubic root of 65631264 is about 403.3699947703.

The spelling of 65631264 in words is "sixty-five million, six hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 9629 19258 28887 38516 57774 77032 115548 154064 231096 308128 462192 683659 924384 1367318 2050977 2734636 4101954 5469272 8203908 10938544 16407816 21877088 32815632 65631264