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23828376 = 233111353131
BaseRepresentation
bin101101011100…
…1011110011000
31122211121101110
41122321132120
522100002001
62210420320
7406352325
oct132713630
948747343
1023828376
11124a5680
127b916a0
134c23b40
143243b4c
15215a3d6
hex16b9798

23828376 has 128 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 6489600.

The previous prime is 23828347. The next prime is 23828383. The reversal of 23828376 is 67382832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181831 + ... + 181961.

It is an arithmetic number, because the mean of its divisors is an integer number (561330).

Almost surely, 223828376 is an apocalyptic number.

23828376 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 23828376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925120).

23828376 is an abundant number, since it is smaller than the sum of its proper divisors (48021864).

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

23828376 is a wasteful number, since it uses less digits than its factorization.

23828376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 23828376 is about 4881.4317571794. The cubic root of 23828376 is about 287.7607001400.

The spelling of 23828376 in words is "twenty-three million, eight hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 53 66 78 88 104 106 131 132 143 156 159 212 262 264 286 312 318 393 424 429 524 572 583 636 689 786 858 1048 1144 1166 1272 1378 1441 1572 1703 1716 1749 2067 2332 2756 2882 3144 3406 3432 3498 4134 4323 4664 5109 5512 5764 6812 6943 6996 7579 8268 8646 10218 11528 13624 13886 13992 15158 16536 17292 18733 20436 20829 22737 27772 30316 34584 37466 40872 41658 45474 55544 56199 60632 74932 76373 83316 90259 90948 112398 149864 152746 166632 180518 181896 224796 229119 270777 305492 361036 449592 458238 541554 610984 722072 916476 992849 1083108 1832952 1985698 2166216 2978547 3971396 5957094 7942792 11914188 23828376