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65150528 = 2617233257
BaseRepresentation
bin1111100010000…
…1111001000000
311112120222201112
43320201321000
5113134304103
610244222452
71420525142
oct370417100
9145528645
1065150528
1133859613
121999aa28
1310661411
14891cc92
155abdcd8
hex3e21e40

65150528 has 56 divisors (see below), whose sum is σ = 138010392. Its totient is φ = 30408704.

The previous prime is 65150509. The next prime is 65150531. The reversal of 65150528 is 82505156.

It can be written as a sum of positive squares in 4 ways, for example, as 27793984 + 37356544 = 5272^2 + 6112^2 .

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 a junction number, because it is equal to n+sod(n) for n = 65150494 and 65150503.

It is an unprimeable number.

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, 253376 + ... + 253632.

Almost surely, 265150528 is an apocalyptic number.

65150528 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65150528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69005196).

65150528 is an abundant number, since it is smaller than the sum of its proper divisors (72859864).

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

65150528 is a wasteful number, since it uses less digits than its factorization.

65150528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 65150528 is about 8071.5877000749. The cubic root of 65150528 is about 402.3827118617.

The spelling of 65150528 in words is "sixty-five million, one hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 233 257 272 466 514 544 932 1028 1088 1864 2056 3728 3961 4112 4369 7456 7922 8224 8738 14912 15844 16448 17476 31688 34952 59881 63376 69904 119762 126752 139808 239524 253504 279616 479048 958096 1017977 1916192 2035954 3832384 4071908 8143816 16287632 32575264 65150528