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19886464 = 2713171937
BaseRepresentation
bin100101111011…
…1000110000000
31101102100002201
41023313012000
520042331324
61550122544
7331014013
oct113670600
941370081
1019886464
1110252aa4
1267b0454
134173850
1428d937a
151b2c444
hex12f7180

19886464 has 128 divisors (see below), whose sum is σ = 48837600. Its totient is φ = 7962624.

The previous prime is 19886459. The next prime is 19886497. The reversal of 19886464 is 46468891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 537454 + ... + 537490.

Almost surely, 219886464 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 19886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418800).

19886464 is an abundant number, since it is smaller than the sum of its proper divisors (28951136).

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

19886464 is a wasteful number, since it uses less digits than its factorization.

19886464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 19886464 is about 4459.4241780750. The cubic root of 19886464 is about 270.9271464408.

It can be divided in two parts, 19 and 886464, that multiplied together give a square (16842816 = 41042).

The spelling of 19886464 in words is "nineteen million, eight hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 37 38 52 64 68 74 76 104 128 136 148 152 208 221 247 272 296 304 323 416 442 481 494 544 592 608 629 646 703 832 884 962 988 1088 1184 1216 1258 1292 1406 1664 1768 1924 1976 2176 2368 2432 2516 2584 2812 3536 3848 3952 4199 4736 5032 5168 5624 7072 7696 7904 8177 8398 9139 10064 10336 11248 11951 14144 15392 15808 16354 16796 18278 20128 20672 22496 23902 28288 30784 31616 32708 33592 36556 40256 41344 44992 47804 61568 65416 67184 73112 80512 89984 95608 130832 134368 146224 155363 191216 261664 268736 292448 310726 382432 523328 537472 584896 621452 764864 1046656 1169792 1242904 1529728 2485808 4971616 9943232 19886464