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253440848 = 24196179173
BaseRepresentation
bin11110001101100…
…11001101010000
3122122220010111002
433012303031100
51004340101343
641052041132
76165132413
oct1706631520
9578803432
10253440848
11120073951
1270a631a8
13406788cb
1425933b7a
15173b38b8
hexf1b3350

253440848 has 80 divisors (see below), whose sum is σ = 535084800. Its totient is φ = 115914240.

The previous prime is 253440827. The next prime is 253440851. The reversal of 253440848 is 848044352.

253440848 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 (38).

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, 1464890 + ... + 1465062.

It is an arithmetic number, because the mean of its divisors is an integer number (6688560).

Almost surely, 2253440848 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 253440848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267542400).

253440848 is an abundant number, since it is smaller than the sum of its proper divisors (281643952).

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

253440848 is a wasteful number, since it uses less digits than its factorization.

253440848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The square root of 253440848 is about 15919.8256271857. The cubic root of 253440848 is about 632.8374972919.

The spelling of 253440848 in words is "two hundred fifty-three million, four hundred forty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 61 76 79 122 152 158 173 244 304 316 346 488 632 692 976 1159 1264 1384 1501 2318 2768 3002 3287 4636 4819 6004 6574 9272 9638 10553 12008 13148 13667 18544 19276 21106 24016 26296 27334 38552 42212 52592 54668 77104 84424 91561 109336 168848 183122 200507 218672 259673 366244 401014 519346 732488 802028 833687 1038692 1464976 1604056 1667374 2077384 3208112 3334748 4154768 6669496 13338992 15840053 31680106 63360212 126720424 253440848