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28890496 = 272943181
BaseRepresentation
bin110111000110…
…1010110000000
32000100210022101
41232031112000
524343443441
62511120144
7500364565
oct156152600
960323271
1028890496
1115342948
129813054
135ca6c8b
143ba086c
15280a231
hex1b8d580

28890496 has 64 divisors (see below), whose sum is σ = 61261200. Its totient is φ = 13547520.

The previous prime is 28890493. The next prime is 28890503. The reversal of 28890496 is 69409882.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28890493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159526 + ... + 159706.

Almost surely, 228890496 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 28890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30630600).

28890496 is an abundant number, since it is smaller than the sum of its proper divisors (32370704).

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

28890496 is a wasteful number, since it uses less digits than its factorization.

28890496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 28890496 is about 5374.9879999866. The cubic root of 28890496 is about 306.8444925379.

The spelling of 28890496 in words is "twenty-eight million, eight hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 128 172 181 232 344 362 464 688 724 928 1247 1376 1448 1856 2494 2752 2896 3712 4988 5249 5504 5792 7783 9976 10498 11584 15566 19952 20996 23168 31132 39904 41992 62264 79808 83984 124528 159616 167968 225707 249056 335936 451414 498112 671872 902828 996224 1805656 3611312 7222624 14445248 28890496