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253463256 = 2334599653
BaseRepresentation
bin11110001101110…
…00101011011000
3122122221021020000
433012320223120
51004341311011
641052333000
76165254634
oct1706705330
9578837200
10253463256
11120089772
1270a74160
1340685b77
142593bdc4
15173ba356
hexf1b8ad8

253463256 has 80 divisors (see below), whose sum is σ = 712206000. Its totient is φ = 84217536.

The previous prime is 253463239. The next prime is 253463257. The reversal of 253463256 is 652364352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 253463256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253463257) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 387826 + ... + 388478.

It is an arithmetic number, because the mean of its divisors is an integer number (8902575).

Almost surely, 2253463256 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 253463256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356103000).

253463256 is an abundant number, since it is smaller than the sum of its proper divisors (458742744).

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

253463256 is a wasteful number, since it uses less digits than its factorization.

253463256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1257 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 253463256 is about 15920.5293881830. The cubic root of 253463256 is about 632.8561475408.

The spelling of 253463256 in words is "two hundred fifty-three million, four hundred sixty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 599 648 653 1198 1306 1797 1959 2396 2612 3594 3918 4792 5224 5391 5877 7188 7836 10782 11754 14376 15672 16173 17631 21564 23508 32346 35262 43128 47016 48519 52893 64692 70524 97038 105786 129384 141048 194076 211572 388152 391147 423144 782294 1173441 1564588 2346882 3129176 3520323 4693764 7040646 9387528 10560969 14081292 21121938 28162584 31682907 42243876 63365814 84487752 126731628 253463256