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23813496 = 23327371277
BaseRepresentation
bin101101011010…
…1110101111000
31122210211222100
41122311311320
522044012441
62210223400
7406261050
oct132656570
948724870
1023813496
1112495483
127b84b60
134c1a135
14323c560
152155cb6
hex16b5d78

23813496 has 96 divisors (see below), whose sum is σ = 75759840. Its totient is φ = 6614784.

The previous prime is 23813453. The next prime is 23813519. The reversal of 23813496 is 69431832.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 23813496.

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, 18010 + ... + 19286.

It is an arithmetic number, because the mean of its divisors is an integer number (789165).

Almost surely, 223813496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23813496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37879920).

23813496 is an abundant number, since it is smaller than the sum of its proper divisors (51946344).

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

23813496 is a wasteful number, since it uses less digits than its factorization.

23813496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1326 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 23813496 is about 4879.9073761702. The cubic root of 23813496 is about 287.7007887858.

The spelling of 23813496 in words is "twenty-three million, eight hundred thirteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1277 1332 1554 2072 2331 2554 2664 3108 3831 4662 5108 6216 7662 8939 9324 10216 11493 15324 17878 18648 22986 26817 30648 35756 45972 47249 53634 71512 80451 91944 94498 107268 141747 160902 188996 214536 283494 321804 330743 377992 425241 566988 643608 661486 850482 992229 1133976 1322972 1700964 1984458 2645944 2976687 3401928 3968916 5953374 7937832 11906748 23813496