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19880448 = 2937432
BaseRepresentation
bin100101111010…
…1101000000000
31101102000211220
41023311220000
520042133243
61550035040
7330660330
oct113655000
941360756
1019880448
1110249525
1267a8a80
134170ba3
1428d70c0
151b2a783
hex12f5a00

19880448 has 120 divisors (see below), whose sum is σ = 61969248. Its totient is φ = 5548032.

The previous prime is 19880437. The next prime is 19880461. The reversal of 19880448 is 84408891.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462315 + ... + 462357.

Almost surely, 219880448 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 19880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30984624).

19880448 is an abundant number, since it is smaller than the sum of its proper divisors (42088800).

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

19880448 is an frugal number, since it uses more digits than its factorization.

19880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 19880448 is about 4458.7496005046. The cubic root of 19880448 is about 270.8998236330.

Multiplying 19880448 by its sum of digits (42), we get a square (834978816 = 288962).

19880448 divided by its sum of digits (42) gives a square (473344 = 6882).

The spelling of 19880448 in words is "nineteen million, eight hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 256 258 301 336 344 384 448 512 516 602 672 688 768 896 903 1032 1204 1344 1376 1536 1792 1806 1849 2064 2408 2688 2752 3584 3612 3698 4128 4816 5376 5504 5547 7224 7396 8256 9632 10752 11008 11094 12943 14448 14792 16512 19264 22016 22188 25886 28896 29584 33024 38528 38829 44376 51772 57792 59168 66048 77056 77658 88752 103544 115584 118336 154112 155316 177504 207088 231168 236672 310632 355008 414176 462336 473344 621264 710016 828352 946688 1242528 1420032 1656704 2485056 2840064 3313408 4970112 6626816 9940224 19880448