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56273100 = 223521347307
BaseRepresentation
bin1101011010101…
…0100011001100
310220212222011220
43112222203030
5103401214400
65330043340
71252212342
oct326524314
9126788156
1056273100
11298458a4
1216a19550
13b8737c0
14768b992
154e187a0
hex35aa8cc

56273100 has 144 divisors (see below), whose sum is σ = 179655168. Its totient is φ = 13512960.

The previous prime is 56273093. The next prime is 56273101. The reversal of 56273100 is 137265.

56273100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562731002 = 6333323567220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56273101) 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, 183147 + ... + 183453.

Almost surely, 256273100 is an apocalyptic number.

56273100 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 56273100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89827584).

56273100 is an abundant number, since it is smaller than the sum of its proper divisors (123382068).

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

56273100 is a wasteful number, since it uses less digits than its factorization.

56273100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 56273100 is about 7501.5398419258. The cubic root of 56273100 is about 383.2071586420.

The spelling of 56273100 in words is "fifty-six million, two hundred seventy-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 47 50 52 60 65 75 78 94 100 130 141 150 156 188 195 235 260 282 300 307 325 390 470 564 611 614 650 705 780 921 940 975 1175 1222 1228 1300 1410 1535 1833 1842 1950 2350 2444 2820 3055 3070 3525 3666 3684 3900 3991 4605 4700 6110 6140 7050 7332 7675 7982 9165 9210 11973 12220 14100 14429 15275 15350 15964 18330 18420 19955 23025 23946 28858 30550 30700 36660 39910 43287 45825 46050 47892 57716 59865 61100 72145 79820 86574 91650 92100 99775 119730 144290 173148 183300 187577 199550 216435 239460 288580 299325 360725 375154 399100 432870 562731 598650 721450 750308 865740 937885 1082175 1125462 1197300 1442900 1875770 2164350 2250924 2813655 3751540 4328700 4689425 5627310 9378850 11254620 14068275 18757700 28136550 56273100