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76300432 = 2413366829
BaseRepresentation
bin1001000110001…
…00000010010000
312022120110111221
410203010002100
5124013103212
611323214424
71614354145
oct443040220
9168513457
1076300432
113a08470a
1221677414
1312a664b0
14a1c23cc
156a72807
hex48c4090

76300432 has 20 divisors (see below), whose sum is σ = 159204220. Its totient is φ = 35215488.

The previous prime is 76300397. The next prime is 76300459. The reversal of 76300432 is 23400367.

It can be written as a sum of positive squares in 2 ways, for example, as 15085456 + 61214976 = 3884^2 + 7824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76300397 and 76300406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183207 + ... + 183622.

It is an arithmetic number, because the mean of its divisors is an integer number (7960211).

Almost surely, 276300432 is an apocalyptic number.

It is an amenable number.

76300432 is an abundant number, since it is smaller than the sum of its proper divisors (82903788).

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

76300432 is a wasteful number, since it uses less digits than its factorization.

76300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366850 (or 366844 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 76300432 is about 8735.0118488758. The cubic root of 76300432 is about 424.1397723595.

Adding to 76300432 its reverse (23400367), we get a palindrome (99700799).

The spelling of 76300432 in words is "seventy-six million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 366829 733658 1467316 2934632 4768777 5869264 9537554 19075108 38150216 76300432