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20252352 = 263313337
BaseRepresentation
bin100110101000…
…0011011000000
31102002221000010
41031100123000
520141033402
62002024520
7334066521
oct115203300
942087003
1020252352
111048298a
126948140
134271253
142992848
151ba0a6c
hex13506c0

20252352 has 56 divisors (see below), whose sum is σ = 53915056. Its totient is φ = 6709248.

The previous prime is 20252341. The next prime is 20252359. The reversal of 20252352 is 25325202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20252359) 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, 59928 + ... + 60264.

Almost surely, 220252352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26957528).

20252352 is an abundant number, since it is smaller than the sum of its proper divisors (33662704).

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

20252352 is a wasteful number, since it uses less digits than its factorization.

20252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 20252352 is about 4500.2613257454. The cubic root of 20252352 is about 272.5786412759.

Adding to 20252352 its reverse (25325202), we get a palindrome (45577554).

The spelling of 20252352 in words is "twenty million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 313 337 626 674 939 1011 1252 1348 1878 2022 2504 2696 3756 4044 5008 5392 7512 8088 10016 10784 15024 16176 20032 21568 30048 32352 60096 64704 105481 210962 316443 421924 632886 843848 1265772 1687696 2531544 3375392 5063088 6750784 10126176 20252352