Search a number
-
+
15428864 = 28115479
BaseRepresentation
bin111010110110…
…110100000000
31002000212102102
4322312310000
512422210424
61310405532
7245100053
oct72666400
932025372
1015428864
118788a30
1252008a8
133272909
142098a9a
15154b7ae
hexeb6d00

15428864 has 36 divisors (see below), whose sum is σ = 33603360. Its totient is φ = 7011840.

The previous prime is 15428857. The next prime is 15428887. The reversal of 15428864 is 46882451.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 77 + ... + 5555.

Almost surely, 215428864 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 15428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16801680).

15428864 is an abundant number, since it is smaller than the sum of its proper divisors (18174496).

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

15428864 is an equidigital number, since it uses as much as digits as its factorization.

15428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5492 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 15428864 is about 3927.9592665912. The cubic root of 15428864 is about 248.9495335969.

The spelling of 15428864 in words is "fifteen million, four hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 5479 10958 21916 43832 60269 87664 120538 175328 241076 350656 482152 701312 964304 1402624 1928608 3857216 7714432 15428864