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23378850 = 23252114723
BaseRepresentation
bin101100100101…
…1101110100010
31121222202202100
41121023232202
521441110400
62153031230
7402500625
oct131135642
947882670
1023378850
1112218970
1279b5516
134ac7351
143167dbc
1520bc100
hex164bba2

23378850 has 72 divisors (see below), whose sum is σ = 68535792. Its totient is φ = 5666400.

The previous prime is 23378821. The next prime is 23378851. The reversal of 23378850 is 5887332.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23378851) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2589 + ... + 7311.

It is an arithmetic number, because the mean of its divisors is an integer number (951886).

Almost surely, 223378850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23378850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34267896).

23378850 is an abundant number, since it is smaller than the sum of its proper divisors (45156942).

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

23378850 is a wasteful number, since it uses less digits than its factorization.

23378850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 23378850 is about 4835.1680425814. The cubic root of 23378850 is about 285.9396501675.

It can be divided in two parts, 23 and 378850, that added together give a palindrome (378873).

The spelling of 23378850 in words is "twenty-three million, three hundred seventy-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4723 4950 9446 14169 23615 28338 42507 47230 51953 70845 85014 103906 118075 141690 155859 212535 236150 259765 311718 354225 425070 467577 519530 708450 779295 935154 1062675 1298825 1558590 2125350 2337885 2597650 3896475 4675770 7792950 11689425 23378850