Search a number
-
+
76227336 = 233223191241
BaseRepresentation
bin1001000101100…
…10001100001000
312022102202020200
410202302030020
5124003233321
611321452200
71613631063
oct442621410
9168382220
1076227336
113a0347a9
1221641060
1312a3c143
14a1a38da
156a5ad26
hex48b2308

76227336 has 96 divisors (see below), whose sum is σ = 217451520. Its totient is φ = 24076800.

The previous prime is 76227301. The next prime is 76227383. The reversal of 76227336 is 63372267.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76227336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316176 + ... + 316416.

It is an arithmetic number, because the mean of its divisors is an integer number (2265120).

Almost surely, 276227336 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 76227336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108725760).

76227336 is an abundant number, since it is smaller than the sum of its proper divisors (141224184).

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

76227336 is a wasteful number, since it uses less digits than its factorization.

76227336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 76227336 is about 8730.8267649748. The cubic root of 76227336 is about 424.0042867728.

The spelling of 76227336 in words is "seventy-six million, two hundred twenty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 191 207 241 276 382 414 482 552 573 723 764 828 964 1146 1446 1528 1656 1719 1928 2169 2292 2892 3438 4338 4393 4584 5543 5784 6876 8676 8786 11086 13179 13752 16629 17352 17572 22172 26358 33258 35144 39537 44344 46031 49887 52716 66516 79074 92062 99774 105432 133032 138093 158148 184124 199548 276186 316296 368248 399096 414279 552372 828558 1058713 1104744 1657116 2117426 3176139 3314232 4234852 6352278 8469704 9528417 12704556 19056834 25409112 38113668 76227336