Search a number
-
+
56124976 = 242924397
BaseRepresentation
bin1101011000011…
…0011000110000
310220121102222211
43112012120300
5103331444401
65322541504
71251024445
oct326063060
9126542884
1056124976
1129754586
1216967894
13b82125b
14764d9cc
154dd9951
hex3586630

56124976 has 60 divisors (see below), whose sum is σ = 116428312. Its totient is φ = 26191872.

The previous prime is 56124949. The next prime is 56124977. The reversal of 56124976 is 67942165.

It is not an unprimeable number, because it can be changed into a prime (56124977) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 578560 + ... + 578656.

Almost surely, 256124976 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 56124976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58214156).

56124976 is an abundant number, since it is smaller than the sum of its proper divisors (60303336).

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

56124976 is a wasteful number, since it uses less digits than its factorization.

56124976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 171 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 56124976 is about 7491.6604301049. The cubic root of 56124976 is about 382.8706328188.

The spelling of 56124976 in words is "fifty-six million, one hundred twenty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 43 58 86 97 116 172 194 232 344 388 464 688 776 841 1247 1552 1682 2494 2813 3364 4171 4988 5626 6728 8342 9976 11252 13456 16684 19952 22504 33368 36163 45008 66736 72326 81577 120959 144652 163154 241918 289304 326308 483836 578608 652616 967672 1305232 1935344 3507811 7015622 14031244 28062488 56124976