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20252544 = 273134057
BaseRepresentation
bin100110101000…
…0011110000000
31102002221021020
41031100132000
520141040134
62002025440
7334100214
oct115203600
942087236
1020252544
1110483044
126948280
134271370
142992944
151ba0b49
hex1350780

20252544 has 64 divisors (see below), whose sum is σ = 57948240. Its totient is φ = 6230016.

The previous prime is 20252543. The next prime is 20252611. The reversal of 20252544 is 44525202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20252543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2964 + ... + 7020.

Almost surely, 220252544 is an apocalyptic number.

20252544 is a gapful number since it is divisible by the number (24) 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 20252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28974120).

20252544 is an abundant number, since it is smaller than the sum of its proper divisors (37695696).

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

20252544 is a wasteful number, since it uses less digits than its factorization.

20252544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 20252544 is about 4500.2826577894. The cubic root of 20252544 is about 272.5795026562.

Adding to 20252544 its reverse (44525202), we get a palindrome (64777746).

The spelling of 20252544 in words is "twenty million, two hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4057 4992 8114 12171 16228 24342 32456 48684 52741 64912 97368 105482 129824 158223 194736 210964 259648 316446 389472 421928 519296 632892 778944 843856 1265784 1557888 1687712 2531568 3375424 5063136 6750848 10126272 20252544