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189193968 = 243548661
BaseRepresentation
bin10110100011011…
…01111011110000
3111012000001100000
423101231323300
5341413201333
630435030000
74455056625
oct1321557360
9435001300
10189193968
1197882257
125343b300
13302728c2
141b1ac34c
1511922713
hexb46def0

189193968 has 60 divisors (see below), whose sum is σ = 549102008. Its totient is φ = 63063360.

The previous prime is 189193951. The next prime is 189193981. The reversal of 189193968 is 869391981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 20443 + ... + 28218.

Almost surely, 2189193968 is an apocalyptic number.

189193968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

189193968 is an abundant number, since it is smaller than the sum of its proper divisors (359908040).

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

189193968 is an equidigital number, since it uses as much as digits as its factorization.

189193968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48684 (or 48666 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 189193968 is about 13754.7798237558. The cubic root of 189193968 is about 574.0756091039.

It can be divided in two parts, 1891 and 93968, that added together give a palindrome (95859).

The spelling of 189193968 in words is "one hundred eighty-nine million, one hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 48661 97322 145983 194644 291966 389288 437949 583932 778576 875898 1167864 1313847 1751796 2335728 2627694 3503592 3941541 5255388 7007184 7883082 10510776 11824623 15766164 21021552 23649246 31532328 47298492 63064656 94596984 189193968