Search a number
-
+
76399232 = 277213937
BaseRepresentation
bin1001000110111…
…00001010000000
312022202111001012
410203130022000
5124024233412
611325300052
71615245200
oct443341200
9168674035
1076399232
113a141968
1221704628
1312a9c460
14a20a400
156a91c22
hex48dc280

76399232 has 96 divisors (see below), whose sum is σ = 190873620. Its totient is φ = 30191616.

The previous prime is 76399223. The next prime is 76399249. The reversal of 76399232 is 23299367.

It can be written as a sum of positive squares in 2 ways, for example, as 60590656 + 15808576 = 7784^2 + 3976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76399232.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81068 + ... + 82004.

Almost surely, 276399232 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 76399232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95436810).

76399232 is an abundant number, since it is smaller than the sum of its proper divisors (114474388).

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

76399232 is a wasteful number, since it uses less digits than its factorization.

76399232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 959 counting only the distinct ones).

The product of its digits is 122472, while the sum is 41.

The square root of 76399232 is about 8740.6654208933. The cubic root of 76399232 is about 424.3227636133.

The spelling of 76399232 in words is "seventy-six million, three hundred ninety-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 896 937 1274 1456 1568 1664 1874 2548 2912 3136 3748 5096 5824 6272 6559 7496 10192 11648 12181 13118 14992 20384 24362 26236 29984 40768 45913 48724 52472 59968 81536 85267 91826 97448 104944 119936 170534 183652 194896 209888 341068 367304 389792 419776 596869 682136 734608 779584 839552 1193738 1364272 1469216 1559168 2387476 2728544 2938432 4774952 5457088 5876864 9549904 10914176 19099808 38199616 76399232