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2525294256 = 243197383457
BaseRepresentation
bin1001011010000100…
…1110111010110000
320111222210020110220
42112201032322300
520132433404011
61054325453040
7116402434632
oct22641167260
96458706426
102525294256
11108650aa51
125a5871180
13313247574
1419d556a52
15eba75506
hex9684eeb0

2525294256 has 160 divisors (see below), whose sum is σ = 7060381440. Its totient is φ = 775360512.

The previous prime is 2525294243. The next prime is 2525294273. The reversal of 2525294256 is 6524925252.

It is a super-2 number, since 2×25252942562 = 12754222158773187072, which contains 22 as substring.

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, 5525580 + ... + 5526036.

It is an arithmetic number, because the mean of its divisors is an integer number (44127384).

Almost surely, 22525294256 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 2525294256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530190720).

2525294256 is an abundant number, since it is smaller than the sum of its proper divisors (4535087184).

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

2525294256 is a wasteful number, since it uses less digits than its factorization.

2525294256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 2525294256 is about 50252.3059769400. The cubic root of 2525294256 is about 1361.7707355806.

The spelling of 2525294256 in words is "two billion, five hundred twenty-five million, two hundred ninety-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 83 114 146 152 166 219 228 249 292 304 332 438 456 457 498 584 664 876 912 914 996 1168 1328 1371 1387 1577 1752 1828 1992 2742 2774 3154 3504 3656 3984 4161 4731 5484 5548 6059 6308 7312 8322 8683 9462 10968 11096 12118 12616 16644 17366 18177 18924 21936 22192 24236 25232 26049 33288 33361 34732 36354 37848 37931 48472 52098 66576 66722 69464 72708 75696 75862 96944 100083 104196 113793 115121 133444 138928 145416 151724 200166 208392 227586 230242 266888 290832 303448 345363 400332 416784 455172 460484 533776 606896 633859 690726 720689 800664 910344 920968 1267718 1381452 1441378 1601328 1820688 1841936 1901577 2162067 2535436 2762904 2768963 2882756 3803154 4324134 5070872 5525808 5537926 5765512 7606308 8306889 8648268 10141744 11075852 11531024 15212616 16613778 17296536 22151704 30425232 33227556 34593072 44303408 52610297 66455112 105220594 132910224 157830891 210441188 315661782 420882376 631323564 841764752 1262647128 2525294256