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76523328 = 2632718979
BaseRepresentation
bin1001000111110…
…10011101000000
312022222210021100
410203322131000
5124042221303
611332054400
71616303040
oct443723500
9168883240
1076523328
113a217122
1221764400
1312b13a9b
14a23d720
156ab88a3
hex48fa740

76523328 has 84 divisors (see below), whose sum is σ = 250687840. Its totient is φ = 21862656.

The previous prime is 76523287. The next prime is 76523329. The reversal of 76523328 is 82332567.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76523292 and 76523301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76523329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5458 + ... + 13521.

Almost surely, 276523328 is an apocalyptic number.

It is an amenable number.

76523328 is an abundant number, since it is smaller than the sum of its proper divisors (174164512).

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

76523328 is a wasteful number, since it uses less digits than its factorization.

76523328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19004 (or 18991 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 76523328 is about 8747.7613136162. The cubic root of 76523328 is about 424.5523831689.

The spelling of 76523328 in words is "seventy-six million, five hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 18979 37958 56937 75916 113874 132853 151832 170811 227748 265706 303664 341622 398559 455496 531412 607328 683244 797118 910992 1062824 1195677 1214656 1366488 1594236 1821984 2125648 2391354 2732976 3188472 3643968 4251296 4782708 5465952 6376944 8502592 9565416 10931904 12753888 19130832 25507776 38261664 76523328