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25952080 = 2457112383
BaseRepresentation
bin110001011111…
…1111101010000
31210211111120011
41202333331100
523120431310
62324124304
7433406020
oct142777520
953744504
1025952080
1113716200
128836694
1354b867b
143637a80
15242978a
hex18bff50

25952080 has 120 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 8067840.

The previous prime is 25952077. The next prime is 25952093. The reversal of 25952080 is 8025952.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67569 + ... + 67951.

Almost surely, 225952080 is an apocalyptic number.

25952080 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 25952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

25952080 is an abundant number, since it is smaller than the sum of its proper divisors (50043056).

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

25952080 is a wasteful number, since it uses less digits than its factorization.

25952080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 25952080 is about 5094.3184038692. The cubic root of 25952080 is about 296.0674913059.

The spelling of 25952080 in words is "twenty-five million, nine hundred fifty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 383 385 440 484 560 605 616 766 770 847 880 968 1210 1232 1532 1540 1694 1915 1936 2420 2681 3064 3080 3388 3830 4213 4235 4840 5362 6128 6160 6776 7660 8426 8470 9680 10724 13405 13552 15320 16852 16940 21065 21448 26810 29491 30640 33704 33880 42130 42896 46343 53620 58982 67408 67760 84260 92686 107240 117964 147455 168520 185372 214480 231715 235928 294910 324401 337040 370744 463430 471856 589820 648802 741488 926860 1179640 1297604 1622005 1853720 2359280 2595208 3244010 3707440 5190416 6488020 12976040 25952080