Search a number
-
+
56458296 = 2334151577
BaseRepresentation
bin1101011101011…
…1110000111000
310221020101020000
43113113300320
5103423131141
65334033000
71253613306
oct327276070
9127211200
1056458296
1129961a54
1216aa8760
13b909b9b
1476d9276
154e535b6
hex35d7c38

56458296 has 80 divisors (see below), whose sum is σ = 159458640. Its totient is φ = 18662400.

The previous prime is 56458289. The next prime is 56458301. The reversal of 56458296 is 69285465.

56458296 is a `hidden beast` number, since 5 + 64 + 582 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97560 + ... + 98136.

It is an arithmetic number, because the mean of its divisors is an integer number (1993233).

Almost surely, 256458296 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 56458296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79729320).

56458296 is an abundant number, since it is smaller than the sum of its proper divisors (103000344).

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

56458296 is a wasteful number, since it uses less digits than its factorization.

56458296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 733 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 56458296 is about 7513.8735682736. The cubic root of 56458296 is about 383.6270793625.

The spelling of 56458296 in words is "fifty-six million, four hundred fifty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 151 162 216 302 324 453 577 604 648 906 1154 1208 1359 1731 1812 2308 2718 3462 3624 4077 4616 5193 5436 6924 8154 10386 10872 12231 13848 15579 16308 20772 24462 31158 32616 41544 46737 48924 62316 87127 93474 97848 124632 174254 186948 261381 348508 373896 522762 697016 784143 1045524 1568286 2091048 2352429 3136572 4704858 6273144 7057287 9409716 14114574 18819432 28229148 56458296