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253849296 = 24329434241
BaseRepresentation
bin11110010000101…
…10111011010000
3122200122212202210
433020112323100
51004441134141
641104512120
76201453261
oct1710267320
9580585683
10253849296
11120322808
127101b640
134078c7ac
14259dc968
1517444916
hexf216ed0

253849296 has 80 divisors (see below), whose sum is σ = 694330560. Its totient is φ = 79779840.

The previous prime is 253849283. The next prime is 253849373. The reversal of 253849296 is 692948352.

It is a happy number.

253849296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57736 + ... + 61976.

It is an arithmetic number, because the mean of its divisors is an integer number (8679132).

Almost surely, 2253849296 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 253849296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347165280).

253849296 is an abundant number, since it is smaller than the sum of its proper divisors (440481264).

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

253849296 is a wasteful number, since it uses less digits than its factorization.

253849296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4318 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 253849296 is about 15932.6487440099. The cubic root of 253849296 is about 633.1772774014.

The spelling of 253849296 in words is "two hundred fifty-three million, eight hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 688 696 1032 1247 1392 2064 2494 3741 4241 4988 7482 8482 9976 12723 14964 16964 19952 25446 29928 33928 50892 59856 67856 101784 122989 182363 203568 245978 364726 368967 491956 547089 729452 737934 983912 1094178 1458904 1475868 1967824 2188356 2917808 2951736 4376712 5288527 5903472 8753424 10577054 15865581 21154108 31731162 42308216 63462324 84616432 126924648 253849296