Search a number
-
+
72296496 = 24331131481
BaseRepresentation
bin1000100111100…
…10100000110000
312001001001011000
410103302200300
5122001441441
611101322000
71535336646
oct423624060
9161031130
1072296496
113789a478
1220266300
1311c93bbc
14985d196
1565312b6
hex44f2830

72296496 has 80 divisors (see below), whose sum is σ = 209495520. Its totient is φ = 23869440.

The previous prime is 72296491. The next prime is 72296503. The reversal of 72296496 is 69469227.

72296496 is a `hidden beast` number, since 72 + 2 + 96 + 496 = 666.

It is not an unprimeable number, because it can be changed into a prime (72296491) 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, 48076 + ... + 49556.

It is an arithmetic number, because the mean of its divisors is an integer number (2618694).

Almost surely, 272296496 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 72296496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104747760).

72296496 is an abundant number, since it is smaller than the sum of its proper divisors (137199024).

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

72296496 is a wasteful number, since it uses less digits than its factorization.

72296496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1599 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 72296496 is about 8502.7346189329. The cubic root of 72296496 is about 416.5870348798.

The spelling of 72296496 in words is "seventy-two million, two hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1481 1808 2034 2712 2962 3051 4068 4443 5424 5924 6102 8136 8886 11848 12204 13329 16272 17772 23696 24408 26658 35544 39987 48816 53316 71088 79974 106632 159948 167353 213264 319896 334706 502059 639792 669412 1004118 1338824 1506177 2008236 2677648 3012354 4016472 4518531 6024708 8032944 9037062 12049416 18074124 24098832 36148248 72296496