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2530954296 = 2333131575741
BaseRepresentation
bin1001011011011011…
…0100110000111000
320112101102210121000
42112312310300320
520140411014141
61055051045000
7116501520333
oct22666646070
96471383530
102530954296
111089726472
125a7740760
133144798c0
141a01cb61a
15ec2e25b6
hex96db4c38

2530954296 has 128 divisors (see below), whose sum is σ = 7620782400. Its totient is φ = 773660160.

The previous prime is 2530954289. The next prime is 2530954331. The reversal of 2530954296 is 6924590352.

2530954296 is a `hidden beast` number, since 2 + 5 + 309 + 54 + 296 = 666.

2530954296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437986 + ... + 443726.

Almost surely, 22530954296 is an apocalyptic number.

2530954296 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 2530954296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810391200).

2530954296 is an abundant number, since it is smaller than the sum of its proper divisors (5089828104).

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

2530954296 is a wasteful number, since it uses less digits than its factorization.

2530954296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 2530954296 is about 50308.5906779349. The cubic root of 2530954296 is about 1362.7873729448.

The spelling of 2530954296 in words is "two billion, five hundred thirty million, nine hundred fifty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 157 216 234 312 314 351 468 471 628 702 936 942 1256 1404 1413 1884 2041 2808 2826 3768 4082 4239 5652 5741 6123 8164 8478 11304 11482 12246 16328 16956 17223 18369 22964 24492 33912 34446 36738 45928 48984 51669 55107 68892 73476 74633 103338 110214 137784 146952 149266 155007 206676 220428 223899 298532 310014 413352 440856 447798 597064 620028 671697 895596 901337 1240056 1343394 1791192 1802674 2015091 2686788 2704011 3605348 4030182 5373576 5408022 7210696 8060364 8112033 10816044 11717381 16120728 16224066 21632088 23434762 24336099 32448132 35152143 46869524 48672198 64896264 70304286 93739048 97344396 105456429 140608572 194688792 210912858 281217144 316369287 421825716 632738574 843651432 1265477148 2530954296