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25789920 = 2535134133
BaseRepresentation
bin110001001100…
…0010111100000
31210112021010020
41202120113200
523100234140
62320433440
7432132162
oct142302740
953467106
1025789920
1113615392
128778880
13545c910
1435d4932
1523e66d0
hex18985e0

25789920 has 96 divisors (see below), whose sum is σ = 87508512. Its totient is φ = 6346752.

The previous prime is 25789909. The next prime is 25789927. The reversal of 25789920 is 2998752.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25789927) 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, 4174 + ... + 8306.

It is an arithmetic number, because the mean of its divisors is an integer number (911547).

Almost surely, 225789920 is an apocalyptic number.

25789920 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 25789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43754256).

25789920 is an abundant number, since it is smaller than the sum of its proper divisors (61718592).

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

25789920 is a wasteful number, since it uses less digits than its factorization.

25789920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 25789920 is about 5078.3776937128. The cubic root of 25789920 is about 295.4495491929.

The spelling of 25789920 in words is "twenty-five million, seven hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 4133 6240 8266 12399 16532 20665 24798 33064 41330 49596 53729 61995 66128 82660 99192 107458 123990 132256 161187 165320 198384 214916 247980 268645 322374 330640 396768 429832 495960 537290 644748 661280 805935 859664 991920 1074580 1289496 1611870 1719328 1983840 2149160 2578992 3223740 4298320 5157984 6447480 8596640 12894960 25789920