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25264992 = 25317113137
BaseRepresentation
bin110000001100…
…0001101100000
31202112121001110
41200120031200
522431434432
62301303320
7424514604
oct140301540
952477043
1025264992
1113296a65
128564b40
1353079cc
1434d9504
152340dcc
hex1818360

25264992 has 96 divisors (see below), whose sum is σ = 71360352. Its totient is φ = 7798784.

The previous prime is 25264961. The next prime is 25264997. The reversal of 25264992 is 29946252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×252649923 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25264992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25264997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184348 + ... + 184484.

It is an arithmetic number, because the mean of its divisors is an integer number (743337).

Almost surely, 225264992 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 25264992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35680176).

25264992 is an abundant number, since it is smaller than the sum of its proper divisors (46095360).

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

25264992 is a wasteful number, since it uses less digits than its factorization.

25264992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 25264992 is about 5026.4293489514. The cubic root of 25264992 is about 293.4312666572.

The spelling of 25264992 in words is "twenty-five million, two hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 113 136 137 204 226 272 274 339 408 411 452 544 548 678 816 822 904 1096 1356 1632 1644 1808 1921 2192 2329 2712 3288 3616 3842 4384 4658 5424 5763 6576 6987 7684 9316 10848 11526 13152 13974 15368 15481 18632 23052 27948 30736 30962 37264 46104 46443 55896 61472 61924 74528 92208 92886 111792 123848 184416 185772 223584 247696 263177 371544 495392 526354 743088 789531 1052708 1486176 1579062 2105416 3158124 4210832 6316248 8421664 12632496 25264992