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23874048 = 293311157
BaseRepresentation
bin101101100010…
…0101000000000
31122220221001000
41123010220000
522102432143
62211412000
7406632432
oct133045000
948827030
1023874048
1112526a20
127bb4000
134c3b873
143256652
152168bd3
hex16c4a00

23874048 has 160 divisors (see below), whose sum is σ = 77584320. Its totient is φ = 7188480.

The previous prime is 23874029. The next prime is 23874049. The reversal of 23874048 is 84047832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23874049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151986 + ... + 152142.

It is an arithmetic number, because the mean of its divisors is an integer number (484902).

Almost surely, 223874048 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 23874048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38792160).

23874048 is an abundant number, since it is smaller than the sum of its proper divisors (53710272).

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

23874048 is a wasteful number, since it uses less digits than its factorization.

23874048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 23874048 is about 4886.1076533372. The cubic root of 23874048 is about 287.9444337243.

The spelling of 23874048 in words is "twenty-three million, eight hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 157 176 192 198 216 256 264 288 297 314 352 384 396 432 471 512 528 576 594 628 704 768 792 864 942 1056 1152 1188 1256 1408 1413 1536 1584 1727 1728 1884 2112 2304 2376 2512 2816 2826 3168 3454 3456 3768 4224 4239 4608 4752 5024 5181 5632 5652 6336 6908 6912 7536 8448 8478 9504 10048 10362 11304 12672 13816 13824 15072 15543 16896 16956 19008 20096 20724 22608 25344 27632 30144 31086 33912 38016 40192 41448 45216 46629 50688 55264 60288 62172 67824 76032 80384 82896 90432 93258 110528 120576 124344 135648 152064 165792 180864 186516 221056 241152 248688 271296 331584 361728 373032 442112 497376 542592 663168 723456 746064 884224 994752 1085184 1326336 1492128 1989504 2170368 2652672 2984256 3979008 5968512 7958016 11937024 23874048