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231049728 = 29327131929
BaseRepresentation
bin11011100010110…
…00101000000000
3121002202112122100
431301120220000
5433122042403
634532110400
75503614240
oct1561305000
9532675570
10231049728
11109470098
1265465400
1338b39020
1422985b20
151543e2a3
hexdc58a00

231049728 has 480 divisors, whose sum is σ = 893692800. Its totient is φ = 55738368.

The previous prime is 231049717. The next prime is 231049733. The reversal of 231049728 is 827940132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 231049692 and 231049701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7967218 + ... + 7967246.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2231049728 is an apocalyptic number.

231049728 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 231049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446846400).

231049728 is an abundant number, since it is smaller than the sum of its proper divisors (662643072).

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

231049728 is a wasteful number, since it uses less digits than its factorization.

231049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 231049728 is about 15200.3199966316. The cubic root of 231049728 is about 613.6232697662.

It can be divided in two parts, 23104 and 9728, that multiplied together give a cube (224755712 = 6083).

The spelling of 231049728 in words is "two hundred thirty-one million, forty-nine thousand, seven hundred twenty-eight".