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76535604 = 2234534457
BaseRepresentation
bin1001000111111…
…01011100110100
312100000102010000
410203331130310
5124043114404
611332231300
71616353605
oct443753464
9170012100
1076535604
113a225372
122176b530
1312b19552
14a243dac
156abc339
hex48fd734

76535604 has 60 divisors (see below), whose sum is σ = 203900004. Its totient is φ = 25024896.

The previous prime is 76535603. The next prime is 76535617. The reversal of 76535604 is 40653567.

It can be written as a sum of positive squares in 2 ways, for example, as 54464400 + 22071204 = 7380^2 + 4698^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76535603) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14944 + ... + 19400.

Almost surely, 276535604 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 76535604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101950002).

76535604 is an abundant number, since it is smaller than the sum of its proper divisors (127364400).

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

76535604 is a wasteful number, since it uses less digits than its factorization.

76535604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 76535604 is about 8748.4629507131. The cubic root of 76535604 is about 424.5750844223.

The spelling of 76535604 in words is "seventy-six million, five hundred thirty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2862 4293 4457 5724 8586 8914 13371 17172 17828 26742 40113 53484 80226 120339 160452 236221 240678 361017 472442 481356 708663 722034 944884 1417326 1444068 2125989 2834652 4251978 6377967 8503956 12755934 19133901 25511868 38267802 76535604