Search a number
-
+
76276044 = 223213349467
BaseRepresentation
bin1001000101111…
…10000101001100
312022112020001200
410202332011030
5124011313134
611322505500
71614223065
oct442760514
9168466050
1076276044
113a068359
1221665290
1312a58370
14a1b756c
156a6a499
hex48be14c

76276044 has 72 divisors (see below), whose sum is σ = 208681200. Its totient is φ = 23352192.

The previous prime is 76276043. The next prime is 76276069. The reversal of 76276044 is 44067267.

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

It is not an unprimeable number, because it can be changed into a prime (76276043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163099 + ... + 163565.

It is an arithmetic number, because the mean of its divisors is an integer number (2898350).

Almost surely, 276276044 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 76276044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104340600).

76276044 is an abundant number, since it is smaller than the sum of its proper divisors (132405156).

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

76276044 is a wasteful number, since it uses less digits than its factorization.

76276044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 76276044 is about 8733.6157460699. The cubic root of 76276044 is about 424.0945781066.

The spelling of 76276044 in words is "seventy-six million, two hundred seventy-six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 349 467 468 698 934 1047 1396 1401 1868 2094 2802 3141 4188 4203 4537 5604 6071 6282 8406 9074 12142 12564 13611 16812 18148 18213 24284 27222 36426 40833 54444 54639 72852 81666 109278 162983 163332 218556 325966 488949 651932 977898 1466847 1955796 2118779 2933694 4237558 5867388 6356337 8475116 12712674 19069011 25425348 38138022 76276044