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23936928 = 2532337293
BaseRepresentation
bin101101101001…
…1111110100000
31200001010021220
41123103332200
522111440203
62213015040
7410313651
oct133237640
950033256
1023936928
111256a194
128024480
134c61382
143271528
15217c653
hex16d3fa0

23936928 has 96 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 7400448.

The previous prime is 23936917. The next prime is 23936947. The reversal of 23936928 is 82963932.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23936928.

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, 81550 + ... + 81842.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 223936928 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 23936928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

23936928 is an abundant number, since it is smaller than the sum of its proper divisors (43631328).

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

23936928 is a wasteful number, since it uses less digits than its factorization.

23936928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 23936928 is about 4892.5379916767. The cubic root of 23936928 is about 288.1970102635.

The spelling of 23936928 in words is "twenty-three million, nine hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 69 74 92 96 111 138 148 184 222 276 293 296 368 444 552 586 592 736 851 879 888 1104 1172 1184 1702 1758 1776 2208 2344 2553 3404 3516 3552 4688 5106 6739 6808 7032 9376 10212 10841 13478 13616 14064 20217 20424 21682 26956 27232 28128 32523 40434 40848 43364 53912 65046 80868 81696 86728 107824 130092 161736 173456 215648 249343 260184 323472 346912 498686 520368 646944 748029 997372 1040736 1496058 1994744 2992116 3989488 5984232 7978976 11968464 23936928