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253581056 = 2859103163
BaseRepresentation
bin11110001110101…
…01011100000000
3122200011020210222
433013111130000
51004404043211
641055042212
76166255241
oct1707253400
9580136728
10253581056
1112015a223
1270b10368
13406c7681
142596ccc8
15173e01db
hexf1d5700

253581056 has 72 divisors (see below), whose sum is σ = 522936960. Its totient is φ = 122674176.

The previous prime is 253581043. The next prime is 253581059. The reversal of 253581056 is 650185352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253581059) 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 7 ways as a sum of consecutive naturals, for example, 1555631 + ... + 1555793.

Almost surely, 2253581056 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 253581056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261468480).

253581056 is an abundant number, since it is smaller than the sum of its proper divisors (269355904).

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

253581056 is a wasteful number, since it uses less digits than its factorization.

253581056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 253581056 is about 15924.2285841418. The cubic root of 253581056 is about 632.9541747775.

The spelling of 253581056 in words is "two hundred fifty-three million, five hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 59 64 103 118 128 163 206 236 256 326 412 472 652 824 944 1304 1648 1888 2608 3296 3776 5216 6077 6592 7552 9617 10432 12154 13184 15104 16789 19234 20864 24308 26368 33578 38468 41728 48616 67156 76936 97232 134312 153872 194464 268624 307744 388928 537248 615488 777856 990551 1074496 1230976 1555712 1981102 2148992 2461952 3962204 4297984 7924408 15848816 31697632 63395264 126790528 253581056