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65242752 = 273712393
BaseRepresentation
bin1111100011100…
…0011010000000
311112202200020020
43320320122000
5113200232002
610250213440
71421361051
oct370703200
9145680206
1065242752
1133911933
1219a24280
13106943a3
148944728
155adb2bc
hex3e38680

65242752 has 64 divisors (see below), whose sum is σ = 175815360. Its totient is φ = 21432320.

The previous prime is 65242699. The next prime is 65242759. The reversal of 65242752 is 25724256.

65242752 is nontrivially palindromic in base 11.

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 (65242759) 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 7 ways as a sum of consecutive naturals, for example, 26068 + ... + 28460.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 265242752 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 65242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

65242752 is an abundant number, since it is smaller than the sum of its proper divisors (110572608).

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

65242752 is a wasteful number, since it uses less digits than its factorization.

65242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2469 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 65242752 is about 8077.2985583052. The cubic root of 65242752 is about 402.5724869771.

The spelling of 65242752 in words is "sixty-five million, two hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 2393 3408 4544 4786 6816 7179 9088 9572 13632 14358 19144 27264 28716 38288 57432 76576 114864 153152 169903 229728 306304 339806 459456 509709 679612 918912 1019418 1359224 2038836 2718448 4077672 5436896 8155344 10873792 16310688 21747584 32621376 65242752