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23928048 = 243437499
BaseRepresentation
bin101101101000…
…1110011110000
31200000200010000
41123101303300
522111144143
62212510000
7410246034
oct133216360
950020100
1023928048
1112563551
12801b300
134c5a311
14326c1c4
152179bd3
hex16d1cf0

23928048 has 100 divisors (see below), whose sum is σ = 71269000. Its totient is φ = 7744896.

The previous prime is 23928031. The next prime is 23928053. The reversal of 23928048 is 84082932.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 47703 + ... + 48201.

It is an arithmetic number, because the mean of its divisors is an integer number (712690).

Almost surely, 223928048 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 23928048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35634500).

23928048 is an abundant number, since it is smaller than the sum of its proper divisors (47340952).

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

23928048 is a wasteful number, since it uses less digits than its factorization.

23928048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 23928048 is about 4891.6304030456. The cubic root of 23928048 is about 288.1613679012.

It can be divided in two parts, 2392 and 8048, that added together give a triangular number (10440 = T144).

The spelling of 23928048 in words is "twenty-three million, nine hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 499 592 648 666 888 998 999 1296 1332 1497 1776 1996 1998 2664 2994 2997 3992 3996 4491 5328 5988 5994 7984 7992 8982 11976 11988 13473 15984 17964 18463 23952 23976 26946 35928 36926 40419 47952 53892 55389 71856 73852 80838 107784 110778 147704 161676 166167 215568 221556 295408 323352 332334 443112 498501 646704 664668 886224 997002 1329336 1495503 1994004 2658672 2991006 3988008 5982012 7976016 11964024 23928048