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23128848 = 2433371447
BaseRepresentation
bin101100000111…
…0101100010000
31121112001211000
41120032230100
521410110343
62143422000
7400410021
oct130165420
947461730
1023128848
1112068056
1278b4900
134a3a612
143100c48
15206ced3
hex160eb10

23128848 has 80 divisors (see below), whose sum is σ = 68229760. Its totient is φ = 7496064.

The previous prime is 23128843. The next prime is 23128849. The reversal of 23128848 is 84882132.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23128843) 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, 15261 + ... + 16707.

It is an arithmetic number, because the mean of its divisors is an integer number (852872).

Almost surely, 223128848 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 23128848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34114880).

23128848 is an abundant number, since it is smaller than the sum of its proper divisors (45100912).

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

23128848 is a wasteful number, since it uses less digits than its factorization.

23128848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1489 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 23128848 is about 4809.2460947637. The cubic root of 23128848 is about 284.9167623954.

The spelling of 23128848 in words is "twenty-three million, one hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1447 1776 1998 2664 2894 3996 4341 5328 5788 7992 8682 11576 13023 15984 17364 23152 26046 34728 39069 52092 53539 69456 78138 104184 107078 156276 160617 208368 214156 312552 321234 428312 481851 625104 642468 856624 963702 1284936 1445553 1927404 2569872 2891106 3854808 5782212 7709616 11564424 23128848