Search a number
-
+
19885728 = 253359577
BaseRepresentation
bin100101111011…
…0111010100000
31101102022002110
41023312322200
520042320403
61550115320
7331011612
oct113667240
941368073
1019885728
1110252495
1267abb40
134173405
1428d8db2
151b2c103
hex12f6ea0

19885728 has 48 divisors (see below), whose sum is σ = 52436160. Its totient is φ = 6598656.

The previous prime is 19885703. The next prime is 19885739. The reversal of 19885728 is 82758891.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 34176 + ... + 34752.

It is an arithmetic number, because the mean of its divisors is an integer number (1092420).

Almost surely, 219885728 is an apocalyptic number.

It is an amenable number.

19885728 is an abundant number, since it is smaller than the sum of its proper divisors (32550432).

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

19885728 is a wasteful number, since it uses less digits than its factorization.

19885728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its digits is 322560, while the sum is 48.

The square root of 19885728 is about 4459.3416554465. The cubic root of 19885728 is about 270.9238040527.

The spelling of 19885728 in words is "nineteen million, eight hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 359 577 718 1077 1154 1436 1731 2154 2308 2872 3462 4308 4616 5744 6924 8616 9232 11488 13848 17232 18464 27696 34464 55392 207143 414286 621429 828572 1242858 1657144 2485716 3314288 4971432 6628576 9942864 19885728