Search a number
-
+
76079652 = 223114712263
BaseRepresentation
bin1001000100011…
…10001000100100
312022011020122220
410202032020210
5123434022102
611314352340
71612444365
oct442161044
9168136586
1076079652
1139a43850
122158b6b0
13129b9b5c
14a165b6c
156a2c1bc
hex488e224

76079652 has 48 divisors (see below), whose sum is σ = 197793792. Its totient is φ = 22562080.

The previous prime is 76079621. The next prime is 76079657. The reversal of 76079652 is 25697067.

It is a happy number.

It is a super-2 number, since 2×760796522 = 11576226896882208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76079657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (4120704).

Almost surely, 276079652 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 76079652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98896896).

76079652 is an abundant number, since it is smaller than the sum of its proper divisors (121714140).

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

76079652 is a wasteful number, since it uses less digits than its factorization.

76079652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12328 (or 12326 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 76079652 is about 8722.3650462475. The cubic root of 76079652 is about 423.7302856275.

The spelling of 76079652 in words is "seventy-six million, seventy-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 6204 12263 24526 36789 49052 73578 134893 147156 269786 404679 539572 576361 809358 1152722 1618716 1729083 2305444 3458166 6339971 6916332 12679942 19019913 25359884 38039826 76079652