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23948496 = 243211131163
BaseRepresentation
bin101101101011…
…0110011010000
31200001201011100
41123112303100
522112322441
62213144400
7410362455
oct133266320
950051140
1023948496
1112577950
12802b100
134c66710
14327582c
152180cb6
hex16d6cd0

23948496 has 120 divisors (see below), whose sum is σ = 78807456. Its totient is φ = 6693120.

The previous prime is 23948479. The next prime is 23948501. The reversal of 23948496 is 69484932.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20011 + ... + 21173.

Almost surely, 223948496 is an apocalyptic number.

23948496 is a gapful number since it is divisible by the number (26) 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 23948496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39403728).

23948496 is an abundant number, since it is smaller than the sum of its proper divisors (54858960).

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

23948496 is a wasteful number, since it uses less digits than its factorization.

23948496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1192 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 23948496 is about 4893.7200573797. The cubic root of 23948496 is about 288.2434284464.

The spelling of 23948496 in words is "twenty-three million, nine hundred forty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1163 1287 1584 1716 1872 2288 2326 2574 3432 3489 4652 5148 6864 6978 9304 10296 10467 12793 13956 15119 18608 20592 20934 25586 27912 30238 38379 41868 45357 51172 55824 60476 76758 83736 90714 102344 115137 120952 136071 153516 166309 167472 181428 204688 230274 241904 272142 307032 332618 362856 460548 498927 544284 614064 665236 725712 921096 997854 1088568 1330472 1496781 1842192 1995708 2177136 2660944 2993562 3991416 5987124 7982832 11974248 23948496