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25514112 = 2731319269
BaseRepresentation
bin110000101010…
…1000010000000
31210000020210010
41201111002000
523012422422
62310504520
7426603111
oct141250200
953006703
1025514112
1113447148
128665140
135394210
143562208
15238eb0c
hex1855080

25514112 has 128 divisors (see below), whose sum is σ = 77112000. Its totient is φ = 7409664.

The previous prime is 25514089. The next prime is 25514141. The reversal of 25514112 is 21141552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×255141122 = 1301939822297088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94714 + ... + 94982.

Almost surely, 225514112 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 25514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556000).

25514112 is an abundant number, since it is smaller than the sum of its proper divisors (51597888).

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

25514112 is a wasteful number, since it uses less digits than its factorization.

25514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its digits is 400, while the sum is 21.

The square root of 25514112 is about 5051.1495721271. The cubic root of 25514112 is about 294.3925525841.

Adding to 25514112 its reverse (21141552), we get a palindrome (46655664).

The spelling of 25514112 in words is "twenty-five million, five hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 269 304 312 384 416 456 494 538 608 624 741 807 832 912 988 1076 1216 1248 1482 1614 1664 1824 1976 2152 2432 2496 2964 3228 3497 3648 3952 4304 4992 5111 5928 6456 6994 7296 7904 8608 10222 10491 11856 12912 13988 15333 15808 17216 20444 20982 23712 25824 27976 30666 31616 34432 40888 41964 47424 51648 55952 61332 66443 81776 83928 94848 103296 111904 122664 132886 163552 167856 199329 223808 245328 265772 327104 335712 398658 447616 490656 531544 654208 671424 797316 981312 1063088 1342848 1594632 1962624 2126176 3189264 4252352 6378528 8504704 12757056 25514112