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189439992 = 23337349359
BaseRepresentation
bin10110100101010…
…01111111111000
3111012110112211000
423102221333320
5341444034432
630444205000
74460133120
oct1322517770
9435415730
10189439992
1197a30085
1253539760
133032a891
141b233c80
151197057c
hexb4a9ff8

189439992 has 128 divisors (see below), whose sum is σ = 604800000. Its totient is φ = 53820288.

The previous prime is 189439961. The next prime is 189439997. The reversal of 189439992 is 299934981.

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 not an unprimeable number, because it can be changed into a prime (189439997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527509 + ... + 527867.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2189439992 is an apocalyptic number.

189439992 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 189439992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400000).

189439992 is an abundant number, since it is smaller than the sum of its proper divisors (415360008).

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

189439992 is a wasteful number, since it uses less digits than its factorization.

189439992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 720 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 189439992 is about 13763.7201366491. The cubic root of 189439992 is about 574.3243400809.

The spelling of 189439992 in words is "one hundred eighty-nine million, four hundred thirty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 349 359 378 504 698 718 756 1047 1077 1396 1436 1512 2094 2154 2443 2513 2792 2872 3141 3231 4188 4308 4886 5026 6282 6462 7329 7539 8376 8616 9423 9693 9772 10052 12564 12924 14658 15078 18846 19386 19544 20104 21987 22617 25128 25848 29316 30156 37692 38772 43974 45234 58632 60312 65961 67851 75384 77544 87948 90468 125291 131922 135702 175896 180936 250582 263844 271404 375873 501164 527688 542808 751746 877037 1002328 1127619 1503492 1754074 2255238 2631111 3006984 3382857 3508148 4510476 5262222 6765714 7016296 7893333 9020952 10524444 13531428 15786666 21048888 23679999 27062856 31573332 47359998 63146664 94719996 189439992