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65051328 = 263379157
BaseRepresentation
bin1111100000100…
…1101011000000
311112101221122110
43320021223000
5113123120303
610242135320
71416633006
oct370115300
9145357573
1065051328
11337a1031
1219951540
1310628214
1488d4a76
155a9e703
hex3e09ac0

65051328 has 56 divisors (see below), whose sum is σ = 176786032. Its totient is φ = 21095424.

The previous prime is 65051323. The next prime is 65051339. The reversal of 65051328 is 82315056.

It is a junction number, because it is equal to n+sod(n) for n = 65051295 and 65051304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65051323) 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, 2526 + ... + 11682.

Almost surely, 265051328 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 65051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88393016).

65051328 is an abundant number, since it is smaller than the sum of its proper divisors (111734704).

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

65051328 is a wasteful number, since it uses less digits than its factorization.

65051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9199 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 65051328 is about 8065.4403475570. The cubic root of 65051328 is about 402.1783817631.

The spelling of 65051328 in words is "sixty-five million, fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 9157 18314 27471 36628 54942 73256 109884 146512 219768 293024 338809 439536 586048 677618 879072 1016427 1355236 1758144 2032854 2710472 4065708 5420944 8131416 10841888 16262832 21683776 32525664 65051328