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1253919296 = 2672798927
BaseRepresentation
bin100101010111101…
…0100101001000000
310020101110200220102
41022233110221000
510032000404141
6324231501532
743034065250
oct11257245100
93211420812
101253919296
11593894143
122abb278a8
1316ca227a6
14bc767960
157513b99b
hex4abd4a40

1253919296 has 28 divisors (see below), whose sum is σ = 2843710848. Its totient is φ = 537393792.

The previous prime is 1253919283. The next prime is 1253919301. The reversal of 1253919296 is 6929193521.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×12539192962 = 3144627201762271232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1253919296.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1399016 + ... + 1399911.

Almost surely, 21253919296 is an apocalyptic number.

1253919296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1253919296 is an abundant number, since it is smaller than the sum of its proper divisors (1589791552).

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

1253919296 is an equidigital number, since it uses as much as digits as its factorization.

1253919296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798946 (or 2798936 counting only the distinct ones).

The product of its digits is 262440, while the sum is 47.

The square root of 1253919296 is about 35410.7228957557. The cubic root of 1253919296 is about 1078.3420193536.

The spelling of 1253919296 in words is "one billion, two hundred fifty-three million, nine hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2798927 5597854 11195708 19592489 22391416 39184978 44782832 78369956 89565664 156739912 179131328 313479824 626959648 1253919296