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21889152 = 273219001
BaseRepresentation
bin101001110000…
…0000010000000
31112012002021100
41103200002000
521100423102
62101054400
7354024525
oct123400200
945162240
1021889152
11113a070a
1273b7400
1346c527c
142c9b14c
151dc5a1c
hex14e0080

21889152 has 48 divisors (see below), whose sum is σ = 62991630. Its totient is φ = 7296000.

The previous prime is 21889141. The next prime is 21889157. The reversal of 21889152 is 25198812.

It can be written as a sum of positive squares in only one way, i.e., 21013056 + 876096 = 4584^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (21889157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8349 + ... + 10652.

Almost surely, 221889152 is an apocalyptic number.

It is an amenable number.

21889152 is an abundant number, since it is smaller than the sum of its proper divisors (41102478).

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

21889152 is a wasteful number, since it uses less digits than its factorization.

21889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19021 (or 19006 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 21889152 is about 4678.5844012906. The cubic root of 21889152 is about 279.7325337034.

The spelling of 21889152 in words is "twenty-one million, eight hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 19001 38002 57003 76004 114006 152008 171009 228012 304016 342018 456024 608032 684036 912048 1216064 1368072 1824096 2432128 2736144 3648192 5472288 7296384 10944576 21889152