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20257488 = 2432140677
BaseRepresentation
bin100110101000…
…1101011010000
31102010012001100
41031101223100
520141214423
62002104400
7334120506
oct115215320
942105040
1020257488
1110486829
12694b100
1342736a4
142994676
151ba2343
hex1351ad0

20257488 has 30 divisors (see below), whose sum is σ = 56693234. Its totient is φ = 6752448.

The previous prime is 20257483. The next prime is 20257493. The reversal of 20257488 is 88475202.

It is a happy number.

20257488 is a `hidden beast` number, since 2 + 0 + 2 + 574 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (20257483) and next prime (20257493).

It can be written as a sum of positive squares in only one way, i.e., 14837904 + 5419584 = 3852^2 + 2328^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20257481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70195 + ... + 70482.

Almost surely, 220257488 is an apocalyptic number.

It is an amenable number.

20257488 is an abundant number, since it is smaller than the sum of its proper divisors (36435746).

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

20257488 is a wasteful number, since it uses less digits than its factorization.

20257488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140691 (or 140682 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 20257488 is about 4500.8319231004. The cubic root of 20257488 is about 272.6016813253.

The spelling of 20257488 in words is "twenty million, two hundred fifty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 140677 281354 422031 562708 844062 1125416 1266093 1688124 2250832 2532186 3376248 5064372 6752496 10128744 20257488