Search a number
-
+
76196916 = 22331971523
BaseRepresentation
bin1001000101010…
…10110000110100
312022101012112000
410202222300310
5124001300131
611321055300
71613443305
oct442526064
9168335460
1076196916
113a013964
1221627530
1312a2b343
14a1967ac
156a51ce6
hex48aac34

76196916 has 96 divisors (see below), whose sum is σ = 211276800. Its totient is φ = 23677920.

The previous prime is 76196867. The next prime is 76196933. The reversal of 76196916 is 61969167.

It is a super-2 number, since 2×761969162 = 11611940015822112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 145431 + ... + 145953.

It is an arithmetic number, because the mean of its divisors is an integer number (2200800).

Almost surely, 276196916 is an apocalyptic number.

76196916 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76196916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105638400).

76196916 is an abundant number, since it is smaller than the sum of its proper divisors (135079884).

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

76196916 is a wasteful number, since it uses less digits than its factorization.

76196916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 76196916 is about 8729.0844880778. The cubic root of 76196916 is about 423.9478768845.

It can be divided in two parts, 7619 and 6916, that added together give a triangular number (14535 = T170).

The spelling of 76196916 in words is "seventy-six million, one hundred ninety-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 71 76 108 114 142 171 213 228 284 342 426 513 523 639 684 852 1026 1046 1278 1349 1569 1917 2052 2092 2556 2698 3138 3834 4047 4707 5396 6276 7668 8094 9414 9937 12141 14121 16188 18828 19874 24282 28242 29811 36423 37133 39748 48564 56484 59622 72846 74266 89433 111399 119244 145692 148532 178866 222798 268299 334197 357732 445596 536598 668394 705527 1002591 1073196 1336788 1411054 2005182 2116581 2822108 4010364 4233162 6349743 8466324 12699486 19049229 25398972 38098458 76196916