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232839768 = 233721271559
BaseRepresentation
bin11011110000011…
…01101001011000
3121020010111010010
431320031221120
5434101333033
635034321520
75525051100
oct1570155130
9536114103
10232839768
1110a482a67
1265b892a0
1339314a15
1422cd0200
1515694863
hexde0da58

232839768 has 96 divisors (see below), whose sum is σ = 682905600. Its totient is φ = 65959488.

The previous prime is 232839731. The next prime is 232839809. The reversal of 232839768 is 867938232.

It is a happy number.

232839768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148573 + ... + 150131.

It is an arithmetic number, because the mean of its divisors is an integer number (7113600).

Almost surely, 2232839768 is an apocalyptic number.

232839768 is a gapful number since it is divisible by the number (28) 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 232839768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341452800).

232839768 is an abundant number, since it is smaller than the sum of its proper divisors (450065832).

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

232839768 is a wasteful number, since it uses less digits than its factorization.

232839768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1698 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 232839768 is about 15259.0880461448. The cubic root of 232839768 is about 615.2038612945.

The spelling of 232839768 in words is "two hundred thirty-two million, eight hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 127 147 168 196 254 294 381 392 508 588 762 889 1016 1176 1524 1559 1778 2667 3048 3118 3556 4677 5334 6223 6236 7112 9354 10668 10913 12446 12472 18669 18708 21336 21826 24892 32739 37338 37416 43652 49784 65478 74676 76391 87304 130956 149352 152782 197993 229173 261912 305564 395986 458346 593979 611128 791972 916692 1187958 1385951 1583944 1833384 2375916 2771902 4157853 4751832 5543804 8315706 9701657 11087608 16631412 19403314 29104971 33262824 38806628 58209942 77613256 116419884 232839768