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25405968 = 243783911
BaseRepresentation
bin110000011101…
…0101000010000
31202210202102210
41200322220100
523000442333
62304312120
7425642610
oct140725020
952722383
1025405968
1113382975
128612640
135356c23
143534a40
15236ca63
hex183aa10

25405968 has 80 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 7163520.

The previous prime is 25405889. The next prime is 25405987. The reversal of 25405968 is 86950452.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27433 + ... + 28343.

Almost surely, 225405968 is an apocalyptic number.

25405968 is a gapful number since it is divisible by the number (28) 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 25405968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

25405968 is an abundant number, since it is smaller than the sum of its proper divisors (50589168).

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

25405968 is a wasteful number, since it uses less digits than its factorization.

25405968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 25405968 is about 5040.4333147062. The cubic root of 25405968 is about 293.9760265518.

The spelling of 25405968 in words is "twenty-five million, four hundred five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 911 996 1162 1328 1743 1822 1992 2324 2733 3486 3644 3984 4648 5466 6377 6972 7288 9296 10932 12754 13944 14576 19131 21864 25508 27888 38262 43728 51016 75613 76524 102032 151226 153048 226839 302452 306096 453678 529291 604904 907356 1058582 1209808 1587873 1814712 2117164 3175746 3629424 4234328 6351492 8468656 12702984 25405968