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25438920 = 23351323709
BaseRepresentation
bin110000100001…
…0101011001000
31202212102122020
41201002223020
523003021140
62305124440
7426140643
oct141025310
952772566
1025438920
11133a5701
128629720
135368c20
143542a5a
1523776d0
hex1842ac8

25438920 has 128 divisors (see below), whose sum is σ = 85881600. Its totient is φ = 5981184.

The previous prime is 25438909. The next prime is 25438927. The reversal of 25438920 is 2983452.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (25438927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35526 + ... + 36234.

It is an arithmetic number, because the mean of its divisors is an integer number (670950).

Almost surely, 225438920 is an apocalyptic number.

25438920 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 25438920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42940800).

25438920 is an abundant number, since it is smaller than the sum of its proper divisors (60442680).

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

25438920 is a wasteful number, since it uses less digits than its factorization.

25438920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 25438920 is about 5043.7010220670. The cubic root of 25438920 is about 294.1030690500.

The spelling of 25438920 in words is "twenty-five million, four hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 709 780 897 920 1196 1380 1418 1495 1560 1794 2127 2392 2760 2836 2990 3545 3588 4254 4485 5672 5980 7090 7176 8508 8970 9217 10635 11960 14180 16307 17016 17940 18434 21270 27651 28360 32614 35880 36868 42540 46085 48921 55302 65228 73736 81535 85080 92170 97842 110604 130456 138255 163070 184340 195684 211991 221208 244605 276510 326140 368680 391368 423982 489210 553020 635973 652280 847964 978420 1059955 1106040 1271946 1695928 1956840 2119910 2543892 3179865 4239820 5087784 6359730 8479640 12719460 25438920