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25984420 = 22571147359
BaseRepresentation
bin110001100011…
…1110110100100
31210220010220221
41203013312210
523123000140
62324534124
7433602220
oct143076644
953803827
1025984420
1113738530
128851344
1354ca2c7
143645780
15243414a
hex18c7da4

25984420 has 96 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 7904640.

The previous prime is 25984403. The next prime is 25984421. The reversal of 25984420 is 2448952.

It is not an unprimeable number, because it can be changed into a prime (25984421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72201 + ... + 72559.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 225984420 is an apocalyptic number.

25984420 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 25984420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

25984420 is an abundant number, since it is smaller than the sum of its proper divisors (43688540).

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

25984420 is a wasteful number, since it uses less digits than its factorization.

25984420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 25984420 is about 5097.4915399636. The cubic root of 25984420 is about 296.1904210573.

The spelling of 25984420 in words is "twenty-five million, nine hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 359 385 470 517 658 718 770 940 1034 1316 1436 1540 1645 1795 2068 2513 2585 3290 3590 3619 3949 5026 5170 6580 7180 7238 7898 10052 10340 12565 14476 15796 16873 18095 19745 25130 27643 33746 36190 39490 50260 55286 67492 72380 78980 84365 110572 118111 138215 168730 185603 236222 276430 337460 371206 472444 552860 590555 742412 928015 1181110 1299221 1856030 2362220 2598442 3712060 5196884 6496105 12992210 25984420