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189062984 = 231121711489
BaseRepresentation
bin10110100010011…
…01111101001000
3111011202101122202
423101031331020
5341400003414
630432135332
74454003015
oct1321157510
9434671582
10189062984
11977a2900
1253397548
13302280b6
141b17670c
15118e89de
hexb44df48

189062984 has 48 divisors (see below), whose sum is σ = 412605900. Its totient is φ = 80875520.

The previous prime is 189062983. The next prime is 189063019. The reversal of 189062984 is 489260981.

189062984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 189062500 + 484 = 13750^2 + 22^2 .

It is not an unprimeable number, because it can be changed into a prime (189062981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10712 + ... + 22200.

Almost surely, 2189062984 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 189062984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206302950).

189062984 is an abundant number, since it is smaller than the sum of its proper divisors (223542916).

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

189062984 is a wasteful number, since it uses less digits than its factorization.

189062984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11534 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The square root of 189062984 is about 13750.0175999887. The cubic root of 189062984 is about 573.9430959303.

The spelling of 189062984 in words is "one hundred eighty-nine million, sixty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1496 2057 4114 8228 11489 16456 22978 45956 91912 126379 195313 252758 390626 505516 781252 1011032 1390169 1562504 2148443 2780338 4296886 5560676 8593772 11121352 17187544 23632873 47265746 94531492 189062984