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65253056 = 2611591571
BaseRepresentation
bin1111100011101…
…0111011000000
311112210012100212
43320322323000
5113201044211
610250333252
71421433101
oct370727300
9145705325
1065253056
1133919650
1219a2a228
1310698c9b
1489483a8
155ade38b
hex3e3aec0

65253056 has 56 divisors (see below), whose sum is σ = 143743680. Its totient is φ = 29139200.

The previous prime is 65253053. The next prime is 65253073. The reversal of 65253056 is 65035256.

It is a super-2 number, since 2×652530562 = 8515922634678272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (65253053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40751 + ... + 42321.

Almost surely, 265253056 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 65253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71871840).

65253056 is an abundant number, since it is smaller than the sum of its proper divisors (78490624).

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

65253056 is a wasteful number, since it uses less digits than its factorization.

65253056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 65253056 is about 8077.9363701381. The cubic root of 65253056 is about 402.5936790555.

The spelling of 65253056 in words is "sixty-five million, two hundred fifty-three thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 176 236 352 472 649 704 944 1298 1571 1888 2596 3142 3776 5192 6284 10384 12568 17281 20768 25136 34562 41536 50272 69124 92689 100544 138248 185378 276496 370756 552992 741512 1019579 1105984 1483024 2039158 2966048 4078316 5932096 8156632 16313264 32626528 65253056