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23379828 = 22317313697
BaseRepresentation
bin101100100101…
…1111101110100
31121222211002120
41121023331310
521441123303
62153035540
7402503523
oct131137564
947884076
1023379828
111221967a
1279b5bb0
134ac7924
1431684ba
1520bc553
hex164bf74

23379828 has 48 divisors (see below), whose sum is σ = 59641344. Its totient is φ = 7096320.

The previous prime is 23379809. The next prime is 23379847. The reversal of 23379828 is 82897332.

It is an interprime number because it is at equal distance from previous prime (23379809) and next prime (23379847).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 23379828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4476 + ... + 8172.

It is an arithmetic number, because the mean of its divisors is an integer number (1242528).

Almost surely, 223379828 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 23379828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29820672).

23379828 is an abundant number, since it is smaller than the sum of its proper divisors (36261516).

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

23379828 is a wasteful number, since it uses less digits than its factorization.

23379828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3750 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 23379828 is about 4835.2691755475. The cubic root of 23379828 is about 285.9436373194.

The spelling of 23379828 in words is "twenty-three million, three hundred seventy-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 3697 6324 7394 11091 14788 22182 44364 62849 114607 125698 188547 229214 251396 343821 377094 458428 687642 754188 1375284 1948319 3896638 5844957 7793276 11689914 23379828