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25648980 = 22357173353
BaseRepresentation
bin110000111010…
…1111101010100
31210021002210020
41201311331110
523031231410
62313425140
7431004240
oct141657524
953232706
1025648980
1113529505
12870b1b0
135410716
143599420
1523b9a70
hex1875f54

25648980 has 96 divisors (see below), whose sum is σ = 82785024. Its totient is φ = 5812224.

The previous prime is 25648969. The next prime is 25648991. The reversal of 25648980 is 8984652.

It is an interprime number because it is at equal distance from previous prime (25648969) and next prime (25648991).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72484 + ... + 72836.

It is an arithmetic number, because the mean of its divisors is an integer number (862344).

Almost surely, 225648980 is an apocalyptic number.

25648980 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 25648980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41392512).

25648980 is an abundant number, since it is smaller than the sum of its proper divisors (57136044).

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

25648980 is a wasteful number, since it uses less digits than its factorization.

25648980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 25648980 is about 5064.4822045299. The cubic root of 25648980 is about 294.9103625006.

The spelling of 25648980 in words is "twenty-five million, six hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 173 210 346 353 420 519 692 706 865 1038 1059 1211 1412 1730 1765 2076 2118 2422 2471 2595 3460 3530 3633 4236 4844 4942 5190 5295 6055 7060 7266 7413 9884 10380 10590 12110 12355 14532 14826 18165 21180 24220 24710 29652 36330 37065 49420 61069 72660 74130 122138 148260 183207 244276 305345 366414 427483 610690 732828 854966 916035 1221380 1282449 1709932 1832070 2137415 2564898 3664140 4274830 5129796 6412245 8549660 12824490 25648980