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20262825 = 3352112729
BaseRepresentation
bin100110101001…
…0111110101001
31102010110101000
41031102332221
520141402300
62002145213
7334142202
oct115227651
942113330
1020262825
111048a840
126952209
134275c4b
1429965a9
151ba3c00
hex1352fa9

20262825 has 48 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 9820800.

The previous prime is 20262817. The next prime is 20262833. The reversal of 20262825 is 52826202.

It is an interprime number because it is at equal distance from previous prime (20262817) and next prime (20262833).

It is not a de Polignac number, because 20262825 - 23 = 20262817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6061 + ... + 8789.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 220262825 is an apocalyptic number.

20262825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20262825 is an abundant number, since it is smaller than the sum of its proper divisors (20359575).

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

20262825 is a wasteful number, since it uses less digits than its factorization.

20262825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20262825 is about 4501.4247744464. The cubic root of 20262825 is about 272.6256189334.

It can be divided in two parts, 2026 and 2825, that added together give a triangular number (4851 = T98).

The spelling of 20262825 in words is "twenty million, two hundred sixty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 2729 7425 8187 13645 24561 30019 40935 68225 73683 90057 122805 150095 204675 270171 368415 450285 614025 750475 810513 1350855 1842075 2251425 4052565 6754275 20262825