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189849072 = 24373715271
BaseRepresentation
bin10110101000011…
…01110111110000
3111020020022222010
423110031313300
5342100132242
630501042520
74463455560
oct1324156760
9436208863
10189849072
119818a466
12536b6440
1330441b3a
141b2dcda0
1511a0189c
hexb50ddf0

189849072 has 80 divisors (see below), whose sum is σ = 575693312. Its totient is φ = 52773120.

The previous prime is 189849067. The next prime is 189849073. The reversal of 189849072 is 270948981.

It is a super-2 number, since 2×1898490722 = 72085340278522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189849073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4797 + ... + 20067.

Almost surely, 2189849072 is an apocalyptic number.

189849072 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 189849072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287846656).

189849072 is an abundant number, since it is smaller than the sum of its proper divisors (385844240).

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

189849072 is a wasteful number, since it uses less digits than its factorization.

189849072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15326 (or 15320 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 189849072 is about 13778.5729304598. The cubic root of 189849072 is about 574.7374448442.

The spelling of 189849072 in words is "one hundred eighty-nine million, eight hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 12432 15271 30542 45813 61084 91626 106897 122168 183252 213794 244336 320691 366504 427588 565027 641382 733008 855176 1130054 1282764 1695081 1710352 2260108 2565528 3390162 3955189 4520216 5131056 6780324 7910378 9040432 11865567 13560648 15820756 23731134 27121296 31641512 47462268 63283024 94924536 189849072