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25426944 = 210323189
BaseRepresentation
bin110000011111…
…1110000000000
31202211211012200
41200333300000
523002130234
62304553200
7426061014
oct140776000
952754180
1025426944
1113397704
128622800
13536363a
14353c544
152373d99
hex183fc00

25426944 has 132 divisors (see below), whose sum is σ = 76639680. Its totient is φ = 8110080.

The previous prime is 25426931. The next prime is 25426957. The reversal of 25426944 is 44962452.

It is an interprime number because it is at equal distance from previous prime (25426931) and next prime (25426957).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 25426899 and 25426908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285652 + ... + 285740.

Almost surely, 225426944 is an apocalyptic number.

25426944 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 25426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38319840).

25426944 is an abundant number, since it is smaller than the sum of its proper divisors (51212736).

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

25426944 is a wasteful number, since it uses less digits than its factorization.

25426944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 25426944 is about 5042.5136588809. The cubic root of 25426944 is about 294.0569097107.

The spelling of 25426944 in words is "twenty-five million, four hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 89 93 96 124 128 144 178 186 192 248 256 267 279 288 356 372 384 496 512 534 558 576 712 744 768 801 992 1024 1068 1116 1152 1424 1488 1536 1602 1984 2136 2232 2304 2759 2848 2976 3072 3204 3968 4272 4464 4608 5518 5696 5952 6408 7936 8277 8544 8928 9216 11036 11392 11904 12816 15872 16554 17088 17856 22072 22784 23808 24831 25632 31744 33108 34176 35712 44144 45568 47616 49662 51264 66216 68352 71424 88288 91136 95232 99324 102528 132432 136704 142848 176576 198648 205056 264864 273408 285696 353152 397296 410112 529728 706304 794592 820224 1059456 1412608 1589184 2118912 2825216 3178368 4237824 6356736 8475648 12713472 25426944