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189372792 = 233717611087
BaseRepresentation
bin10110100100110…
…01100101111000
3111012100010122010
423102121211320
5341434412132
630442525520
74456433160
oct1322314570
9435303563
10189372792
1197994644
12535068a0
133030610b
141b2175a0
151195a6cc
hexb499978

189372792 has 128 divisors (see below), whose sum is σ = 582819840. Its totient is φ = 50042880.

The previous prime is 189372767. The next prime is 189372797. The reversal of 189372792 is 297273981.

189372792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189372797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173673 + ... + 174759.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2189372792 is an apocalyptic number.

189372792 is a gapful number since it is divisible by the number (12) 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 189372792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291409920).

189372792 is an abundant number, since it is smaller than the sum of its proper divisors (393447048).

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

189372792 is a wasteful number, since it uses less digits than its factorization.

189372792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1177 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 189372792 is about 13761.2787196539. The cubic root of 189372792 is about 574.2564220740.

The spelling of 189372792 in words is "one hundred eighty-nine million, three hundred seventy-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 61 68 84 102 119 122 136 168 183 204 238 244 357 366 408 427 476 488 714 732 854 952 1037 1087 1281 1428 1464 1708 2074 2174 2562 2856 3111 3261 3416 4148 4348 5124 6222 6522 7259 7609 8296 8696 10248 12444 13044 14518 15218 18479 21777 22827 24888 26088 29036 30436 36958 43554 45654 55437 58072 60872 66307 73916 87108 91308 110874 129353 132614 147832 174216 182616 198921 221748 258706 265228 388059 397842 443496 464149 517412 530456 776118 795684 928298 1034824 1127219 1392447 1552236 1591368 1856596 2254438 2784894 3104472 3381657 3713192 4508876 5569788 6763314 7890533 9017752 11139576 13526628 15781066 23671599 27053256 31562132 47343198 63124264 94686396 189372792