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25975040 = 285713223
BaseRepresentation
bin110001100010…
…1100100000000
31210212200001112
41203011210000
523122200130
62324422452
7433532660
oct143054400
953780045
1025975040
1113731483
128847a28
1354c5c60
1436421a0
152431495
hex18c5900

25975040 has 144 divisors (see below), whose sum is σ = 76919808. Its totient is φ = 8183808.

The previous prime is 25975009. The next prime is 25975049. The reversal of 25975040 is 4057952.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 25974988 and 25975006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25975049) 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, 116369 + ... + 116591.

Almost surely, 225975040 is an apocalyptic number.

25975040 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 25975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38459904).

25975040 is an abundant number, since it is smaller than the sum of its proper divisors (50944768).

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

25975040 is a wasteful number, since it uses less digits than its factorization.

25975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 25975040 is about 5096.5713965371. The cubic root of 25975040 is about 296.1547766144.

The spelling of 25975040 in words is "twenty-five million, nine hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 223 224 256 260 280 320 364 416 446 448 455 520 560 640 728 832 892 896 910 1040 1115 1120 1280 1456 1561 1664 1784 1792 1820 2080 2230 2240 2899 2912 3122 3328 3568 3640 4160 4460 4480 5798 5824 6244 7136 7280 7805 8320 8920 8960 11596 11648 12488 14272 14495 14560 15610 16640 17840 20293 23192 23296 24976 28544 28990 29120 31220 35680 40586 46384 49952 57088 57980 58240 62440 71360 81172 92768 99904 101465 115960 116480 124880 142720 162344 185536 199808 202930 231920 249760 285440 324688 371072 399616 405860 463840 499520 649376 742144 811720 927680 999040 1298752 1623440 1855360 1998080 2597504 3246880 3710720 5195008 6493760 12987520 25975040