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25142496 = 2532359193
BaseRepresentation
bin101111111101…
…0010011100000
31202022101000120
41133322103200
522414024441
62254520240
7423464511
oct137722340
952271016
1025142496
1113212a25
128506080
135294022
1434a6a08
152319966
hex17fa4e0

25142496 has 96 divisors (see below), whose sum is σ = 70398720. Its totient is φ = 7839744.

The previous prime is 25142489. The next prime is 25142501. The reversal of 25142496 is 69424152.

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

It is a super-2 number, since 2×251424962 = 1264290210220032, which contains 22 as substring.

Its product of digits (17280) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130176 + ... + 130368.

It is an arithmetic number, because the mean of its divisors is an integer number (733320).

Almost surely, 225142496 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 25142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35199360).

25142496 is an abundant number, since it is smaller than the sum of its proper divisors (45256224).

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

25142496 is a wasteful number, since it uses less digits than its factorization.

25142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 25142496 is about 5014.2293525526. The cubic root of 25142496 is about 292.9562694154.

The spelling of 25142496 in words is "twenty-five million, one hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 69 92 96 118 138 177 184 193 236 276 354 368 386 472 552 579 708 736 772 944 1104 1158 1357 1416 1544 1888 2208 2316 2714 2832 3088 4071 4439 4632 5428 5664 6176 8142 8878 9264 10856 11387 13317 16284 17756 18528 21712 22774 26634 32568 34161 35512 43424 45548 53268 65136 68322 71024 91096 106536 130272 136644 142048 182192 213072 261901 273288 364384 426144 523802 546576 785703 1047604 1093152 1571406 2095208 3142812 4190416 6285624 8380832 12571248 25142496