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2525346096 = 2437134712301
BaseRepresentation
bin1001011010000101…
…1011100100110000
320111222212212120220
42112201123210300
520132442033341
61054330533040
7116403042030
oct22641334460
96458785526
102525346096
111086545999
125a5897180
13313265040
1419d56b8c0
15eba85a66
hex9685b930

2525346096 has 160 divisors (see below), whose sum is σ = 8200808448. Its totient is φ = 651801600.

The previous prime is 2525346059. The next prime is 2525346113. The reversal of 2525346096 is 6906435252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 199146 + ... + 211446.

Almost surely, 22525346096 is an apocalyptic number.

2525346096 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 2525346096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100404224).

2525346096 is an abundant number, since it is smaller than the sum of its proper divisors (5675462352).

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

2525346096 is a wasteful number, since it uses less digits than its factorization.

2525346096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12379 (or 12373 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 2525346096 is about 50252.8217715185. The cubic root of 2525346096 is about 1361.7800537966.

The spelling of 2525346096 in words is "two billion, five hundred twenty-five million, three hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 47 48 52 56 78 84 91 94 104 112 141 156 168 182 188 208 273 282 312 329 336 364 376 546 564 611 624 658 728 752 987 1092 1128 1222 1316 1456 1833 1974 2184 2256 2444 2632 3666 3948 4277 4368 4888 5264 7332 7896 8554 9776 12301 12831 14664 15792 17108 24602 25662 29328 34216 36903 49204 51324 68432 73806 86107 98408 102648 147612 159913 172214 196816 205296 258321 295224 319826 344428 479739 516642 578147 590448 639652 688856 959478 1033284 1119391 1156294 1279304 1377712 1734441 1918956 2066568 2238782 2312588 2558608 3358173 3468882 3837912 4047029 4133136 4477564 4625176 6716346 6937764 7515911 7675824 8094058 8955128 9250352 12141087 13432692 13875528 15031822 16188116 17910256 22547733 24282174 26865384 27751056 30063644 32376232 45095466 48564348 52611377 53730768 60127288 64752464 90190932 97128696 105222754 120254576 157834131 180381864 194257392 210445508 315668262 360763728 420891016 631336524 841782032 1262673048 2525346096