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76404328 = 237211132947
BaseRepresentation
bin1001000110111…
…01011001101000
312022202202000221
410203131121220
5124024414303
611325335424
71615266100
oct443353150
9168682027
1076404328
113a145780
1221707574
1312aa1880
14a20c200
156a934bd
hex48dd668

76404328 has 192 divisors, whose sum is σ = 206841600. Its totient is φ = 25966080.

The previous prime is 76404319. The next prime is 76404347. The reversal of 76404328 is 82340467.

It is a junction number, because it is equal to n+sod(n) for n = 76404293 and 76404302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1625601 + ... + 1625647.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 276404328 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 76404328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

76404328 is an abundant number, since it is smaller than the sum of its proper divisors (130437272).

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

76404328 is a wasteful number, since it uses less digits than its factorization.

76404328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 76404328 is about 8740.9569270189. The cubic root of 76404328 is about 424.3321978300.

It can be divided in two parts, 76 and 404328, that added together give a palindrome (404404).

The spelling of 76404328 in words is "seventy-six million, four hundred four thousand, three hundred twenty-eight".