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19328472 = 23321971199
BaseRepresentation
bin100100110111…
…0110111011000
31100100222200100
41021232313120
514422002342
61530135400
7323201142
oct111566730
940328610
1019328472
11aa01849
126581560
134009887
1427d1c92
151a6be4c
hex126edd8

19328472 has 96 divisors (see below), whose sum is σ = 56160000. Its totient is φ = 5987520.

The previous prime is 19328461. The next prime is 19328479. The reversal of 19328472 is 27482391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19328479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97029 + ... + 97227.

It is an arithmetic number, because the mean of its divisors is an integer number (585000).

Almost surely, 219328472 is an apocalyptic number.

19328472 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 19328472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28080000).

19328472 is an abundant number, since it is smaller than the sum of its proper divisors (36831528).

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

19328472 is a wasteful number, since it uses less digits than its factorization.

19328472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 19328472 is about 4396.4158129094. The cubic root of 19328472 is about 268.3690986195.

It can be divided in two parts, 1932 and 8472, that added together give a square (10404 = 1022).

The spelling of 19328472 in words is "nineteen million, three hundred twenty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 71 72 76 114 142 152 171 199 213 228 284 342 398 426 456 568 597 639 684 796 852 1194 1278 1349 1368 1592 1704 1791 2388 2556 2698 3582 3781 4047 4776 5112 5396 7164 7562 8094 10792 11343 12141 14129 14328 15124 16188 22686 24282 28258 30248 32376 34029 42387 45372 48564 56516 68058 84774 90744 97128 113032 127161 136116 169548 254322 268451 272232 339096 508644 536902 805353 1017288 1073804 1610706 2147608 2416059 3221412 4832118 6442824 9664236 19328472