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189864792 = 233213712857
BaseRepresentation
bin10110101000100…
…01101101011000
3111020021010112100
423110101231120
5342101133132
630501243400
74463552445
oct1324215530
9436233470
10189864792
11981a0257
1253703560
1330449040
141b3049cc
1511a0637c
hexb511b58

189864792 has 96 divisors (see below), whose sum is σ = 561768480. Its totient is φ = 57576960.

The previous prime is 189864743. The next prime is 189864799. The reversal of 189864792 is 297468981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189864799) 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 23 ways as a sum of consecutive naturals, for example, 65028 + ... + 67884.

It is an arithmetic number, because the mean of its divisors is an integer number (5851755).

Almost surely, 2189864792 is an apocalyptic number.

189864792 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 189864792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280884240).

189864792 is an abundant number, since it is smaller than the sum of its proper divisors (371903688).

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

189864792 is a wasteful number, since it uses less digits than its factorization.

189864792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2946 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 189864792 is about 13779.1433696003. The cubic root of 189864792 is about 574.7533076612.

The spelling of 189864792 in words is "one hundred eighty-nine million, eight hundred sixty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 71 72 78 104 117 142 156 213 234 284 312 426 468 568 639 852 923 936 1278 1704 1846 2556 2769 2857 3692 5112 5538 5714 7384 8307 8571 11076 11428 16614 17142 22152 22856 25713 33228 34284 37141 51426 66456 68568 74282 102852 111423 148564 202847 205704 222846 297128 334269 405694 445692 608541 668538 811388 891384 1217082 1337076 1622776 1825623 2434164 2637011 2674152 3651246 4868328 5274022 7302492 7911033 10548044 14604984 15822066 21096088 23733099 31644132 47466198 63288264 94932396 189864792