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56093700 = 223521319757
BaseRepresentation
bin1101010111111…
…0110000000100
310220112212002110
43111332300010
5103324444300
65322141020
71250534325
oct325766004
9126485073
1056093700
1129733033
1216951770
13b80cc50
14764244c
154dd0550
hex357ec04

56093700 has 144 divisors (see below), whose sum is σ = 184224320. Its totient is φ = 13063680.

The previous prime is 56093647. The next prime is 56093707. The reversal of 56093700 is 739065.

56093700 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

56093700 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (56093707) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 73722 + ... + 74478.

Almost surely, 256093700 is an apocalyptic number.

56093700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56093700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92112160).

56093700 is an abundant number, since it is smaller than the sum of its proper divisors (128130620).

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

56093700 is a wasteful number, since it uses less digits than its factorization.

56093700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 56093700 is about 7489.5727514992. The cubic root of 56093700 is about 382.7995005720.

The spelling of 56093700 in words is "fifty-six million, ninety-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 757 780 950 975 988 1140 1235 1300 1425 1482 1514 1900 1950 2271 2470 2850 2964 3028 3705 3785 3900 4542 4940 5700 6175 7410 7570 9084 9841 11355 12350 14383 14820 15140 18525 18925 19682 22710 24700 28766 29523 37050 37850 39364 43149 45420 49205 56775 57532 59046 71915 74100 75700 86298 98410 113550 118092 143830 147615 172596 186979 196820 215745 227100 246025 287660 295230 359575 373958 431490 492050 560937 590460 719150 738075 747916 862980 934895 984100 1078725 1121874 1438300 1476150 1869790 2157450 2243748 2804685 2952300 3739580 4314900 4674475 5609370 9348950 11218740 14023425 18697900 28046850 56093700