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253849856 = 281383919
BaseRepresentation
bin11110010000101…
…11000100000000
3122200122220112112
433020113010000
51004441143411
641104514452
76201455021
oct1710270400
9580586475
10253849856
11120323177
127101ba28
134078cb20
14259dcc48
1517444b8b
hexf217100

253849856 has 72 divisors (see below), whose sum is σ = 552861120. Its totient is φ = 115623936.

The previous prime is 253849837. The next prime is 253849877. The reversal of 253849856 is 658948352.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275765 + ... + 276683.

Almost surely, 2253849856 is an apocalyptic number.

253849856 is a gapful number since it is divisible by the number (26) 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 253849856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276430560).

253849856 is an abundant number, since it is smaller than the sum of its proper divisors (299011264).

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

253849856 is an equidigital number, since it uses as much as digits as its factorization.

253849856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1017 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 50.

The square root of 253849856 is about 15932.6663179770. Note that the first 3 decimals coincide. The cubic root of 253849856 is about 633.1777430044.

The spelling of 253849856 in words is "two hundred fifty-three million, eight hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 128 166 208 256 332 416 664 832 919 1079 1328 1664 1838 2158 2656 3328 3676 4316 5312 7352 8632 10624 11947 14704 17264 21248 23894 29408 34528 47788 58816 69056 76277 95576 117632 138112 152554 191152 235264 276224 305108 382304 610216 764608 991601 1220432 1529216 1983202 2440864 3058432 3966404 4881728 7932808 9763456 15865616 19526912 31731232 63462464 126924928 253849856