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231984048 = 24319724533
BaseRepresentation
bin11011101001111…
…00101110110000
3121011112000021210
431310330232300
5433341442143
635004120120
75514555222
oct1564745660
9534460253
10231984048
11109a4905a
1265836040
13390a538a
1422b4a412
1515576033
hexdd3cbb0

231984048 has 40 divisors (see below), whose sum is σ = 602358768. Its totient is φ = 76932352.

The previous prime is 231984041. The next prime is 231984059. The reversal of 231984048 is 840489132.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 231983997 and 231984015.

It is not an unprimeable number, because it can be changed into a prime (231984041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2811 + ... + 21722.

Almost surely, 2231984048 is an apocalyptic number.

It is an amenable number.

231984048 is an abundant number, since it is smaller than the sum of its proper divisors (370374720).

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

231984048 is a wasteful number, since it uses less digits than its factorization.

231984048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24741 (or 24735 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 231984048 is about 15231.0225526719. The cubic root of 231984048 is about 614.4492815966.

The spelling of 231984048 in words is "two hundred thirty-one million, nine hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 197 394 591 788 1182 1576 2364 3152 4728 9456 24533 49066 73599 98132 147198 196264 294396 392528 588792 1177584 4833001 9666002 14499003 19332004 28998006 38664008 57996012 77328016 115992024 231984048