Search a number
-
+
23982192 = 24321323557
BaseRepresentation
bin101101101111…
…1000001110000
31200010102101100
41123133001300
522114412232
62214004400
7410562633
oct133370160
950112340
1023982192
11125a01a3
128046700
134c78b60
143283c1a
15218ac7c
hex16df070

23982192 has 120 divisors (see below), whose sum is σ = 75557664. Its totient is φ = 7045632.

The previous prime is 23982187. The next prime is 23982193. The reversal of 23982192 is 29128932.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (23982193) 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 23 ways as a sum of consecutive naturals, for example, 42778 + ... + 43334.

Almost surely, 223982192 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 23982192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37778832).

23982192 is an abundant number, since it is smaller than the sum of its proper divisors (51575472).

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

23982192 is a wasteful number, since it uses less digits than its factorization.

23982192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 23982192 is about 4897.1616269019. The cubic root of 23982192 is about 288.3785531299.

The spelling of 23982192 in words is "twenty-three million, nine hundred eighty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 557 598 624 828 897 936 1104 1114 1196 1656 1671 1794 1872 2228 2392 2691 3312 3342 3588 4456 4784 5013 5382 6684 7176 7241 8912 10026 10764 12811 13368 14352 14482 20052 21528 21723 25622 26736 28964 38433 40104 43056 43446 51244 57928 65169 76866 80208 86892 102488 115299 115856 130338 153732 166543 173784 204976 230598 260676 307464 333086 347568 461196 499629 521352 614928 666172 922392 999258 1042704 1332344 1498887 1844784 1998516 2664688 2997774 3997032 5995548 7994064 11991096 23982192