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25042680 = 23325135351
BaseRepresentation
bin101111110000…
…1111011111000
31202010022002200
41133201323320
522402331210
62252430200
7422600505
oct137417370
952108080
1025042680
1113154a33
128478360
13525a770
14347c4ac
1522ea0c0
hex17e1ef8

25042680 has 96 divisors (see below), whose sum is σ = 87665760. Its totient is φ = 6163200.

The previous prime is 25042679. The next prime is 25042687. The reversal of 25042680 is 8624052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25042687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2005 + ... + 7355.

It is an arithmetic number, because the mean of its divisors is an integer number (913185).

Almost surely, 225042680 is an apocalyptic number.

25042680 is a gapful number since it is divisible by the number (20) 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 25042680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43832880).

25042680 is an abundant number, since it is smaller than the sum of its proper divisors (62623080).

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

25042680 is a wasteful number, since it uses less digits than its factorization.

25042680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5381 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 25042680 is about 5004.2661799708. The cubic root of 25042680 is about 292.5680753233.

It can be divided in two parts, 2504 and 2680, that added together give a square (5184 = 722).

The spelling of 25042680 in words is "twenty-five million, forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 5351 10702 16053 21404 26755 32106 42808 48159 53510 64212 69563 80265 96318 107020 128424 139126 160530 192636 208689 214040 240795 278252 321060 347815 385272 417378 481590 556504 626067 642120 695630 834756 963180 1043445 1252134 1391260 1669512 1926360 2086890 2504268 2782520 3130335 4173780 5008536 6260670 8347560 12521340 25042680