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23608494 = 23272132971
BaseRepresentation
bin101101000001…
…1110010101110
31122102102202200
41122003302232
522020432434
62202002330
7404445300
oct132036256
948372680
1023608494
1112365458
127aa63a6
134b77a30
1431c7970
152115199
hex1683cae

23608494 has 144 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 5927040.

The previous prime is 23608493. The next prime is 23608513. The reversal of 23608494 is 49480632.

It is a happy number.

23608494 is a `hidden beast` number, since 2 + 3 + 608 + 49 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23608493) 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 71 ways as a sum of consecutive naturals, for example, 332479 + ... + 332549.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 223608494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23608494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

23608494 is an abundant number, since it is smaller than the sum of its proper divisors (43615026).

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

23608494 is a wasteful number, since it uses less digits than its factorization.

23608494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 23608494 is about 4858.8572730633. The cubic root of 23608494 is about 286.8728367843.

The spelling of 23608494 in words is "twenty-three million, six hundred eight thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 49 58 63 71 78 87 91 98 117 126 142 147 174 182 203 213 234 261 273 294 377 406 426 441 497 522 546 609 637 639 754 819 882 923 994 1131 1218 1274 1278 1421 1491 1638 1827 1846 1911 2059 2262 2639 2769 2842 2982 3393 3479 3654 3822 4118 4263 4473 5278 5538 5733 6177 6461 6786 6958 7917 8307 8526 8946 10437 11466 12354 12789 12922 14413 15834 16614 18473 18531 19383 20874 23751 25578 26767 28826 31311 36946 37062 38766 43239 45227 47502 53534 55419 58149 62622 80301 86478 90454 100891 110838 116298 129717 135681 160602 166257 187369 201782 240903 259434 271362 302673 332514 374738 407043 481806 562107 605346 814086 908019 1124214 1311583 1686321 1816038 2623166 3372642 3934749 7869498 11804247 23608494