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19628892 = 2234471289
BaseRepresentation
bin100101011100…
…0001101011100
31100221020210000
41022320031130
520011111032
61540414300
7325562043
oct112701534
940836700
1019628892
1110097528
1266a7390
1340b353a
14286d55a
151acae7c
hex12b835c

19628892 has 60 divisors (see below), whose sum is σ = 52446240. Its totient is φ = 6398784.

The previous prime is 19628857. The next prime is 19628899. The reversal of 19628892 is 29882691.

19628892 is a `hidden beast` number, since 19 + 628 + 8 + 9 + 2 = 666.

It is a super-2 number, since 2×196288922 = 770586802295328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19628899) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14584 + ... + 15872.

It is an arithmetic number, because the mean of its divisors is an integer number (874104).

Almost surely, 219628892 is an apocalyptic number.

19628892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19628892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26223120).

19628892 is an abundant number, since it is smaller than the sum of its proper divisors (32817348).

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

19628892 is a wasteful number, since it uses less digits than its factorization.

19628892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1341 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 19628892 is about 4430.4505414235. The cubic root of 19628892 is about 269.7523655405.

The spelling of 19628892 in words is "nineteen million, six hundred twenty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1289 1692 2538 2578 3807 3867 5076 5156 7614 7734 11601 15228 15468 23202 34803 46404 60583 69606 104409 121166 139212 181749 208818 242332 363498 417636 545247 726996 1090494 1635741 2180988 3271482 4907223 6542964 9814446 19628892