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253763055 = 325713311999
BaseRepresentation
bin11110010000000…
…01110111101111
3122200111111110200
433020001313233
51004430404210
641103004543
76200643660
oct1710016757
9580444420
10253763055
11120273a37
1270b99753
134075c470
14259b9367
15174290c0
hexf201def

253763055 has 96 divisors (see below), whose sum is σ = 559104000. Its totient is φ = 103576320.

The previous prime is 253763053. The next prime is 253763087. The reversal of 253763055 is 550367352.

It is not a de Polignac number, because 253763055 - 21 = 253763053 is a prime.

It is a super-3 number, since 3×2537630553 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253763053) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125946 + ... + 127944.

It is an arithmetic number, because the mean of its divisors is an integer number (5824000).

Almost surely, 2253763055 is an apocalyptic number.

253763055 is an abundant number, since it is smaller than the sum of its proper divisors (305340945).

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

253763055 is a wasteful number, since it uses less digits than its factorization.

253763055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The square root of 253763055 is about 15929.9420902902. The cubic root of 253763055 is about 633.1055655269.

The spelling of 253763055 in words is "two hundred fifty-three million, seven hundred sixty-three thousand, fifty-five".

Divisors: 1 3 5 7 9 13 15 21 31 35 39 45 63 65 91 93 105 117 155 195 217 273 279 315 403 455 465 585 651 819 1085 1209 1365 1395 1953 1999 2015 2821 3255 3627 4095 5997 6045 8463 9765 9995 13993 14105 17991 18135 25389 25987 29985 41979 42315 61969 69965 77961 89955 125937 126945 129935 181909 185907 209895 233883 309845 389805 433783 545727 557721 629685 805597 909545 929535 1169415 1301349 1637181 2168915 2416791 2728635 2788605 3904047 4027985 5639179 6506745 7250373 8185905 12083955 16917537 19520235 28195895 36251865 50752611 84587685 253763055