Search a number
-
+
56025270 = 2345741241
BaseRepresentation
bin1101010110111…
…0000010110110
310220102101020000
43111232002312
5103320302040
65320452130
71250130660
oct325560266
9126371200
1056025270
1129696684
121691a046
13b7b7a62
147625530
154dba130
hex356e0b6

56025270 has 160 divisors (see below), whose sum is σ = 177097536. Its totient is φ = 12441600.

The previous prime is 56025257. The next prime is 56025271. The reversal of 56025270 is 7252065.

56025270 is a `hidden beast` number, since 5 + 602 + 52 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56025271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 232350 + ... + 232590.

Almost surely, 256025270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56025270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88548768).

56025270 is an abundant number, since it is smaller than the sum of its proper divisors (121072266).

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

56025270 is a wasteful number, since it uses less digits than its factorization.

56025270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 56025270 is about 7485.0030060114. The cubic root of 56025270 is about 382.6437752470.

The spelling of 56025270 in words is "fifty-six million, twenty-five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 81 82 90 105 123 126 135 162 189 205 210 241 246 270 287 315 369 378 405 410 482 567 574 615 630 723 738 810 861 945 1107 1134 1205 1230 1435 1446 1687 1722 1845 1890 2169 2214 2410 2583 2835 2870 3321 3374 3615 3690 4305 4338 5061 5166 5535 5670 6507 6642 7230 7749 8435 8610 9881 10122 10845 11070 12915 13014 15183 15498 16605 16870 19521 19762 21690 23247 25305 25830 29643 30366 32535 33210 38745 39042 45549 46494 49405 50610 59286 65070 69167 75915 77490 88929 91098 97605 98810 116235 136647 138334 148215 151830 177858 195210 207501 227745 232470 266787 273294 296430 345835 415002 444645 455490 533574 622503 683235 691670 800361 889290 1037505 1245006 1333935 1366470 1600722 1867509 2075010 2667870 3112515 3735018 4001805 5602527 6225030 8003610 9337545 11205054 18675090 28012635 56025270