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76347048 = 23331891153
BaseRepresentation
bin1001000110011…
…11011010101000
312022122211110110
410203033122220
5124021101143
611324214320
71614640101
oct443173250
9168584413
1076347048
113a106738
122169a3a0
1312a8178b
14a1d53a8
156a81533
hex48cf6a8

76347048 has 64 divisors (see below), whose sum is σ = 199411200. Its totient is φ = 24330240.

The previous prime is 76347023. The next prime is 76347049. The reversal of 76347048 is 84074367.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76346997 and 76347015.

It is not an unprimeable number, because it can be changed into a prime (76347049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65640 + ... + 66792.

It is an arithmetic number, because the mean of its divisors is an integer number (3115800).

Almost surely, 276347048 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 76347048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99705600).

76347048 is an abundant number, since it is smaller than the sum of its proper divisors (123064152).

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

76347048 is a wasteful number, since it uses less digits than its factorization.

76347048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 76347048 is about 8737.6797835581. The cubic root of 76347048 is about 424.2261313046.

The spelling of 76347048 in words is "seventy-six million, three hundred forty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 89 93 124 178 186 248 267 356 372 534 712 744 1068 1153 2136 2306 2759 3459 4612 5518 6918 8277 9224 11036 13836 16554 22072 27672 33108 35743 66216 71486 102617 107229 142972 205234 214458 285944 307851 410468 428916 615702 820936 857832 1231404 2462808 3181127 6362254 9543381 12724508 19086762 25449016 38173524 76347048