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25378752 = 263723821
BaseRepresentation
bin110000011001…
…1111111000000
31202202101002210
41200303333000
522444110002
62303542120
7425500350
oct140637700
952671083
1025378752
1113364483
1285ba940
135347719
143528b60
15236496c
hex1833fc0

25378752 has 112 divisors (see below), whose sum is σ = 80174592. Its totient is φ = 6927360.

The previous prime is 25378747. The next prime is 25378753. The reversal of 25378752 is 25787352.

It is a tau number, because it is divible by the number of its divisors (112).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 25378752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25378753) 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, 30502 + ... + 31322.

Almost surely, 225378752 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 25378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40087296).

25378752 is an abundant number, since it is smaller than the sum of its proper divisors (54795840).

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

25378752 is a wasteful number, since it uses less digits than its factorization.

25378752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 856 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 25378752 is about 5037.7328234038. The cubic root of 25378752 is about 293.8710156584.

The spelling of 25378752 in words is "twenty-five million, three hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 821 966 1104 1288 1344 1472 1642 1932 2208 2463 2576 3284 3864 4416 4926 5152 5747 6568 7728 9852 10304 11494 13136 15456 17241 18883 19704 22988 26272 30912 34482 37766 39408 45976 52544 56649 68964 75532 78816 91952 113298 132181 137928 151064 157632 183904 226596 264362 275856 302128 367808 396543 453192 528724 551712 604256 793086 906384 1057448 1103424 1208512 1586172 1812768 2114896 3172344 3625536 4229792 6344688 8459584 12689376 25378752