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19828744 = 2313375153
BaseRepresentation
bin100101110100…
…1000000001000
31101022101220221
41023221000020
520034004434
61544555424
7330353515
oct113510010
941271827
1019828744
11102136a1
126782b74
1341534b0
1428c230c
151b1a2b4
hex12e9008

19828744 has 32 divisors (see below), whose sum is σ = 41128920. Its totient is φ = 8902656.

The previous prime is 19828727. The next prime is 19828751. The reversal of 19828744 is 44782891.

It can be written as a sum of positive squares in 4 ways, for example, as 18164644 + 1664100 = 4262^2 + 1290^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19828744.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1272 + ... + 6424.

Almost surely, 219828744 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 19828744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20564460).

19828744 is an abundant number, since it is smaller than the sum of its proper divisors (21300176).

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

19828744 is a wasteful number, since it uses less digits than its factorization.

19828744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5205 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 19828744 is about 4452.9477877020. The cubic root of 19828744 is about 270.6647725149.

The spelling of 19828744 in words is "nineteen million, eight hundred twenty-eight thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 3848 5153 10306 20612 41224 66989 133978 190661 267956 381322 535912 762644 1525288 2478593 4957186 9914372 19828744