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56048720 = 2457137699
BaseRepresentation
bin1101010111001…
…1110001010000
310220110120101112
43111303301100
5103322024340
65321152452
71250256230
oct325636120
9126416345
1056048720
1129702262
121692b728
13b7c5630
14762dcc0
154dc2065
hex3573c50

56048720 has 80 divisors (see below), whose sum is σ = 160406400. Its totient is φ = 17736192.

The previous prime is 56048693. The next prime is 56048753. The reversal of 56048720 is 2784065.

56048720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3431 + ... + 11129.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 256048720 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 56048720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80203200).

56048720 is an abundant number, since it is smaller than the sum of its proper divisors (104357680).

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

56048720 is a wasteful number, since it uses less digits than its factorization.

56048720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 56048720 is about 7486.5693077671. The cubic root of 56048720 is about 382.6971544031.

The spelling of 56048720 in words is "fifty-six million, forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 7699 15398 30796 38495 53893 61592 76990 100087 107786 123184 153980 200174 215572 269465 307960 400348 431144 500435 538930 615920 700609 800696 862288 1000870 1077860 1401218 1601392 2001740 2155720 2802436 3503045 4003480 4311440 5604872 7006090 8006960 11209744 14012180 28024360 56048720