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20385252 = 22321929803
BaseRepresentation
bin100110111000…
…0110111100100
31102100200022100
41031300313210
520204312002
62004532100
7335162136
oct115606744
942320270
1020385252
1110563818
1269b1030
1342b98a4
1429c9056
151bca11c
hex1370de4

20385252 has 36 divisors (see below), whose sum is σ = 54243280. Its totient is φ = 6437232.

The previous prime is 20385251. The next prime is 20385257. The reversal of 20385252 is 25258302.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (20385251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14218 + ... + 15585.

Almost surely, 220385252 is an apocalyptic number.

It is an amenable number.

20385252 is an abundant number, since it is smaller than the sum of its proper divisors (33858028).

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

20385252 is a wasteful number, since it uses less digits than its factorization.

20385252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29832 (or 29827 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20385252 is about 4515.0029900322. The cubic root of 20385252 is about 273.1735803878.

Subtracting from 20385252 its sum of digits (27), we obtain a square (20385225 = 45152).

The spelling of 20385252 in words is "twenty million, three hundred eighty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 29803 59606 89409 119212 178818 268227 357636 536454 566257 1072908 1132514 1698771 2265028 3397542 5096313 6795084 10192626 20385252