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25319424 = 211313317
BaseRepresentation
bin110000010010…
…1100000000000
31202122100201110
41200211200000
522440210144
62302403320
7425132364
oct140454000
952570643
1025319424
1113323949
128590540
135326710
1435112a4
1523520b9
hex1825800

25319424 has 96 divisors (see below), whose sum is σ = 72923760. Its totient is φ = 7766016.

The previous prime is 25319351. The next prime is 25319429. The reversal of 25319424 is 42491352.

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

It is a junction number, because it is equal to n+sod(n) for n = 25319391 and 25319400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25319429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79714 + ... + 80030.

Almost surely, 225319424 is an apocalyptic number.

25319424 is a gapful number since it is divisible by the number (24) 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 25319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36461880).

25319424 is an abundant number, since it is smaller than the sum of its proper divisors (47604336).

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

25319424 is a wasteful number, since it uses less digits than its factorization.

25319424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 25319424 is about 5031.8410149765. The cubic root of 25319424 is about 293.6418425418.

The spelling of 25319424 in words is "twenty-five million, three hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 317 384 416 512 624 634 768 832 951 1024 1248 1268 1536 1664 1902 2048 2496 2536 3072 3328 3804 4121 4992 5072 6144 6656 7608 8242 9984 10144 12363 13312 15216 16484 19968 20288 24726 26624 30432 32968 39936 40576 49452 60864 65936 79872 81152 98904 121728 131872 162304 197808 243456 263744 324608 395616 486912 527488 649216 791232 973824 1054976 1582464 1947648 2109952 3164928 4219904 6329856 8439808 12659712 25319424