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189834048 = 2632674919
BaseRepresentation
bin10110101000010…
…10001101000000
3111020012120100200
423110022031000
5342044142143
630500445200
74463364015
oct1324121500
9436176320
10189834048
119817a148
12536a9800
1330438051
141b2d770c
15119ec1d3
hexb50a340

189834048 has 84 divisors (see below), whose sum is σ = 552358560. Its totient is φ = 62320896.

The previous prime is 189834017. The next prime is 189834079. The reversal of 189834048 is 840438981.

It is an interprime number because it is at equal distance from previous prime (189834017) and next prime (189834079).

It is a junction number, because it is equal to n+sod(n) for n = 189833994 and 189834012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36133 + ... + 41051.

Almost surely, 2189834048 is an apocalyptic number.

189834048 is a gapful number since it is divisible by the number (18) 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 189834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276179280).

189834048 is an abundant number, since it is smaller than the sum of its proper divisors (362524512).

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

189834048 is a wasteful number, since it uses less digits than its factorization.

189834048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 189834048 is about 13778.0277253314. The cubic root of 189834048 is about 574.7222835320.

The spelling of 189834048 in words is "one hundred eighty-nine million, eight hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 1072 1206 1608 2144 2412 3216 4288 4824 4919 6432 9648 9838 12864 14757 19296 19676 29514 38592 39352 44271 59028 78704 88542 118056 157408 177084 236112 314816 329573 354168 472224 659146 708336 944448 988719 1318292 1416672 1977438 2636584 2833344 2966157 3954876 5273168 5932314 7909752 10546336 11864628 15819504 21092672 23729256 31639008 47458512 63278016 94917024 189834048