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25288920 = 23325199353
BaseRepresentation
bin110000001111…
…0000011011000
31202120210212200
41200132003120
522433221140
62302010200
7424644426
oct140360330
952523780
1025288920
1113302a38
128576960
135315877
143504116
152348030
hex181e0d8

25288920 has 96 divisors (see below), whose sum is σ = 82836000. Its totient is φ = 6690816.

The previous prime is 25288919. The next prime is 25288931. The reversal of 25288920 is 2988252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71464 + ... + 71816.

It is an arithmetic number, because the mean of its divisors is an integer number (862875).

Almost surely, 225288920 is an apocalyptic number.

25288920 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 25288920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41418000).

25288920 is an abundant number, since it is smaller than the sum of its proper divisors (57547080).

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

25288920 is a wasteful number, since it uses less digits than its factorization.

25288920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 25288920 is about 5028.8090041281. The cubic root of 25288920 is about 293.5238718446.

The spelling of 25288920 in words is "twenty-five million, two hundred eighty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 199 353 360 398 597 706 796 995 1059 1194 1412 1592 1765 1791 1990 2118 2388 2824 2985 3177 3530 3582 3980 4236 4776 5295 5970 6354 7060 7164 7960 8472 8955 10590 11940 12708 14120 14328 15885 17910 21180 23880 25416 31770 35820 42360 63540 70247 71640 127080 140494 210741 280988 351235 421482 561976 632223 702470 842964 1053705 1264446 1404940 1685928 2107410 2528892 2809880 3161115 4214820 5057784 6322230 8429640 12644460 25288920