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56328948 = 223213373253
BaseRepresentation
bin1101011011100…
…0001011110100
310220222210210100
43112320023310
5103410011243
65331154100
71252534224
oct326701364
9126883710
1056328948
1129883855
1216a45930
13b893050
1476a4084
154e2a0d3
hex35b82f4

56328948 has 72 divisors (see below), whose sum is σ = 157532648. Its totient is φ = 16858368.

The previous prime is 56328941. The next prime is 56328989. The reversal of 56328948 is 84982365.

56328948 is a `hidden beast` number, since 5 + 632 + 8 + 9 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 28323684 = 5292^2 + 5322^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56328941) 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, 15690 + ... + 18942.

Almost surely, 256328948 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 56328948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78766324).

56328948 is an abundant number, since it is smaller than the sum of its proper divisors (101203700).

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

56328948 is a wasteful number, since it uses less digits than its factorization.

56328948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3308 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 56328948 is about 7505.2613545432. The cubic root of 56328948 is about 383.3338875018. Note that the first 3 decimals are identical.

The spelling of 56328948 in words is "fifty-six million, three hundred twenty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 3253 4329 5772 6506 8658 9759 13012 17316 19518 29277 39036 42289 58554 84578 117108 120361 126867 169156 240722 253734 361083 380601 481444 507468 722166 761202 1083249 1444332 1522404 1564693 2166498 3129386 4332996 4694079 6258772 9388158 14082237 18776316 28164474 56328948