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189500832 = 25321934631
BaseRepresentation
bin10110100101110…
…00110110100000
3111012120122021100
423102320312200
5342003011312
630445354400
74460505363
oct1322706640
9435518240
10189500832
1197a71864
1253568a00
133034c491
141b24c0da
15119835dc
hexb4b8da0

189500832 has 72 divisors (see below), whose sum is σ = 567272160. Its totient is φ = 59840640.

The previous prime is 189500827. The next prime is 189500833. The reversal of 189500832 is 238005981.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189500833) 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, 11844 + ... + 22787.

It is an arithmetic number, because the mean of its divisors is an integer number (7878780).

Almost surely, 2189500832 is an apocalyptic number.

189500832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189500832 is an abundant number, since it is smaller than the sum of its proper divisors (377771328).

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

189500832 is a wasteful number, since it uses less digits than its factorization.

189500832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34666 (or 34655 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 189500832 is about 13765.9301175039. The cubic root of 189500832 is about 574.3858162816.

The spelling of 189500832 in words is "one hundred eighty-nine million, five hundred thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 34631 69262 103893 138524 207786 277048 311679 415572 554096 623358 657989 831144 1108192 1246716 1315978 1662288 1973967 2493432 2631956 3324576 3947934 4986864 5263912 5921901 7895868 9973728 10527824 11843802 15791736 21055648 23687604 31583472 47375208 63166944 94750416 189500832