Search a number
-
+
76331052 = 22337313257
BaseRepresentation
bin1001000110010…
…11100000101100
312022122000112000
410203023200230
5124020043202
611324012300
71614542340
oct443134054
9168560460
1076331052
113a0a5716
1221691090
1312a77405
14a1cd620
156a7b91c
hex48cb82c

76331052 has 96 divisors (see below), whose sum is σ = 233533440. Its totient is φ = 21098880.

The previous prime is 76331051. The next prime is 76331131. The reversal of 76331052 is 25013367.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (76331051) 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 31 ways as a sum of consecutive naturals, for example, 21808 + ... + 25064.

It is an arithmetic number, because the mean of its divisors is an integer number (2432640).

Almost surely, 276331052 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 76331052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116766720).

76331052 is an abundant number, since it is smaller than the sum of its proper divisors (157202388).

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

76331052 is a wasteful number, since it uses less digits than its factorization.

76331052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 76331052 is about 8736.7643896353. The cubic root of 76331052 is about 424.1965017147.

The spelling of 76331052 in words is "seventy-six million, three hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3257 3348 3906 5859 6514 7812 9771 11718 13028 19542 22799 23436 29313 39084 45598 58626 68397 87939 91196 100967 117252 136794 175878 201934 205191 273588 302901 351756 403868 410382 605802 615573 706769 820764 908703 1211604 1231146 1413538 1817406 2120307 2462292 2726109 2827076 3634812 4240614 5452218 6360921 8481228 10904436 12721842 19082763 25443684 38165526 76331052