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56941248 = 2637133259
BaseRepresentation
bin1101100100110…
…1101011000000
310222010220201010
43121031223000
5104034104443
65352240520
71260664320
oct331155300
9128126633
1056941248
112a161891
12170a0140
13ba48960
1477c3280
154eeb733
hex364dac0

56941248 has 112 divisors (see below), whose sum is σ = 185480960. Its totient is φ = 15012864.

The previous prime is 56941229. The next prime is 56941249. The reversal of 56941248 is 84214965.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (56941249) 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, 15843 + ... + 19101.

It is an arithmetic number, because the mean of its divisors is an integer number (1656080).

Almost surely, 256941248 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 56941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92740480).

56941248 is an abundant number, since it is smaller than the sum of its proper divisors (128539712).

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

56941248 is a wasteful number, since it uses less digits than its factorization.

56941248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3284 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 56941248 is about 7545.9424858662. The cubic root of 56941248 is about 384.7178412747.

The spelling of 56941248 in words is "fifty-six million, nine hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 3259 4368 5824 6518 8736 9777 13036 17472 19554 22813 26072 39108 42367 45626 52144 68439 78216 84734 91252 104288 127101 136878 156432 169468 182504 208576 254202 273756 296569 312864 338936 365008 508404 547512 593138 625728 677872 730016 889707 1016808 1095024 1186276 1355744 1460032 1779414 2033616 2190048 2372552 2711488 3558828 4067232 4380096 4745104 7117656 8134464 9490208 14235312 18980416 28470624 56941248