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231042624 = 2636119727
BaseRepresentation
bin11011100010101…
…10111001000000
3121002202011220020
431301112321000
5433121330444
634532013440
75503554441
oct1561267100
9532664806
10231042624
1110946581a
1265461280
1338b35a17
14229832c8
151543c119
hexdc56e40

231042624 has 56 divisors (see below), whose sum is σ = 621353088. Its totient is φ = 75747840.

The previous prime is 231042611. The next prime is 231042671. The reversal of 231042624 is 426240132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 231042594 and 231042603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1849 + ... + 21575.

Almost surely, 2231042624 is an apocalyptic number.

231042624 is a gapful number since it is divisible by the number (24) 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 231042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310676544).

231042624 is an abundant number, since it is smaller than the sum of its proper divisors (390310464).

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

231042624 is a wasteful number, since it uses less digits than its factorization.

231042624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19803 (or 19793 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 231042624 is about 15200.0863155444. The cubic root of 231042624 is about 613.6169807530.

Adding to 231042624 its reverse (426240132), we get a palindrome (657282756).

The spelling of 231042624 in words is "two hundred thirty-one million, forty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2928 3904 5856 11712 19727 39454 59181 78908 118362 157816 236724 315632 473448 631264 946896 1203347 1262528 1893792 2406694 3610041 3787584 4813388 7220082 9626776 14440164 19253552 28880328 38507104 57760656 77014208 115521312 231042624