Search a number
-
+
2561454744 = 233233458057
BaseRepresentation
bin1001100010101100…
…1011001010011000
320121111211101100020
42120223023022120
520221213022434
61102100510440
7120322002042
oct23053131230
96544741306
102561454744
1110a4968952
125b59ab420
1331a8985c4
141a428aa92
15eed19849
hex98acb298

2561454744 has 32 divisors (see below), whose sum is σ = 6431134320. Its totient is φ = 850151936.

The previous prime is 2561454713. The next prime is 2561454757. The reversal of 2561454744 is 4474541652.

It is a super-2 number, since 2×25614547442 = 13122100811120211072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2561454696 and 2561454705.

It is a congruent number.

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, 223437 + ... + 234620.

Almost surely, 22561454744 is an apocalyptic number.

2561454744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2561454744 is an abundant number, since it is smaller than the sum of its proper divisors (3869679576).

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

2561454744 is a wasteful number, since it uses less digits than its factorization.

2561454744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458299 (or 458295 counting only the distinct ones).

The product of its digits is 537600, while the sum is 42.

The square root of 2561454744 is about 50610.8164723708. The cubic root of 2561454744 is about 1368.2398309040.

The spelling of 2561454744 in words is "two billion, five hundred sixty-one million, four hundred fifty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 233 466 699 932 1398 1864 2796 5592 458057 916114 1374171 1832228 2748342 3664456 5496684 10993368 106727281 213454562 320181843 426909124 640363686 853818248 1280727372 2561454744