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76514528 = 2529412011
BaseRepresentation
bin1001000111110…
…00010011100000
312022222100012102
410203320103200
5124041431103
611331545532
71616235266
oct443702340
9168870172
1076514528
113a210552
122175b2a8
1312b0ca8c
14a23a436
156ab5e88
hex48f84e0

76514528 has 48 divisors (see below), whose sum is σ = 159712560. Its totient is φ = 36019200.

The previous prime is 76514521. The next prime is 76514551. The reversal of 76514528 is 82541567.

It is a junction number, because it is equal to n+sod(n) for n = 76514491 and 76514500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76514521) 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, 37043 + ... + 39053.

It is an arithmetic number, because the mean of its divisors is an integer number (3327345).

Almost surely, 276514528 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 76514528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79856280).

76514528 is an abundant number, since it is smaller than the sum of its proper divisors (83198032).

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

76514528 is a wasteful number, since it uses less digits than its factorization.

76514528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2083 counting only the distinct ones).

The product of its digits is 67200, while the sum is 38.

The square root of 76514528 is about 8747.2583133231. The cubic root of 76514528 is about 424.5361083749.

The spelling of 76514528 in words is "seventy-six million, five hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 41 58 82 116 164 232 328 464 656 928 1189 1312 2011 2378 4022 4756 8044 9512 16088 19024 32176 38048 58319 64352 82451 116638 164902 233276 329804 466552 659608 933104 1319216 1866208 2391079 2638432 4782158 9564316 19128632 38257264 76514528