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65044480 = 2155397
BaseRepresentation
bin1111100000100…
…0000000000000
311112101121020211
43320020000000
5113122410410
610242043504
71416604024
oct370100000
9145347224
1065044480
1133796976
1219949594
1310625077
1488d2384
155a9c68a
hex3e08000

65044480 has 64 divisors (see below), whose sum is σ = 156497580. Its totient is φ = 25952256.

The previous prime is 65044451. The next prime is 65044481. The reversal of 65044480 is 8444056.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 16384 = 8064^2 + 128^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (65044481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163642 + ... + 164038.

Almost surely, 265044480 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 65044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78248790).

65044480 is an abundant number, since it is smaller than the sum of its proper divisors (91453100).

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

65044480 is an frugal number, since it uses more digits than its factorization.

65044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 65044480 is about 8065.0158090360. The cubic root of 65044480 is about 402.1642687322.

The spelling of 65044480 in words is "sixty-five million, forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 397 512 640 794 1024 1280 1588 1985 2048 2560 3176 3970 4096 5120 6352 7940 8192 10240 12704 15880 16384 20480 25408 31760 32768 40960 50816 63520 81920 101632 127040 163840 203264 254080 406528 508160 813056 1016320 1626112 2032640 3252224 4065280 6504448 8130560 13008896 16261120 32522240 65044480