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25972740 = 22325313461
BaseRepresentation
bin110001100010…
…1000000000100
31210212112220100
41203011000010
523122111430
62324404100
7433523163
oct143050004
953775810
1025972740
111372a782
128846630
1354c4bb1
1436413da
152430960
hex18c5004

25972740 has 72 divisors (see below), whose sum is σ = 79207128. Its totient is φ = 6888960.

The previous prime is 25972733. The next prime is 25972741. The reversal of 25972740 is 4727952.

25972740 is a `hidden beast` number, since 2 + 597 + 27 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 25583364 = 624^2 + 5058^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 25972695 and 25972704.

It is not an unprimeable number, because it can be changed into a prime (25972741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56110 + ... + 56570.

It is an arithmetic number, because the mean of its divisors is an integer number (1100099).

Almost surely, 225972740 is an apocalyptic number.

25972740 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 25972740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39603564).

25972740 is an abundant number, since it is smaller than the sum of its proper divisors (53234388).

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

25972740 is a wasteful number, since it uses less digits than its factorization.

25972740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 25972740 is about 5096.3457496524. The cubic root of 25972740 is about 296.1460351958.

The spelling of 25972740 in words is "twenty-five million, nine hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 461 626 922 939 1252 1383 1565 1844 1878 2305 2766 2817 3130 3756 4149 4610 4695 5532 5634 6260 6915 8298 9220 9390 11268 13830 14085 16596 18780 20745 27660 28170 41490 56340 82980 144293 288586 432879 577172 721465 865758 1298637 1442930 1731516 2164395 2597274 2885860 4328790 5194548 6493185 8657580 12986370 25972740