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19429056 = 263289379
BaseRepresentation
bin100101000011…
…1011011000000
31100120002122200
41022013123000
514433212211
61532233200
7324100323
oct112073300
940502580
1019429056
11aa70379
12660b800
1340435aa
14281a7ba
151a8bb56
hex12876c0

19429056 has 84 divisors (see below), whose sum is σ = 56464200. Its totient is φ = 6386688.

The previous prime is 19429037. The next prime is 19429073. The reversal of 19429056 is 65092491.

It is a super-2 number, since 2×194290562 = 754976434102272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19429056.

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, 51075 + ... + 51453.

Almost surely, 219429056 is an apocalyptic number.

19429056 is a gapful number since it is divisible by the number (16) 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 19429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28232100).

19429056 is an abundant number, since it is smaller than the sum of its proper divisors (37035144).

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

19429056 is a wasteful number, since it uses less digits than its factorization.

19429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 19429056 is about 4407.8402874877. The cubic root of 19429056 is about 268.8338180241.

The spelling of 19429056 in words is "nineteen million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 267 288 356 379 534 576 712 758 801 1068 1137 1424 1516 1602 2136 2274 2848 3032 3204 3411 4272 4548 5696 6064 6408 6822 8544 9096 12128 12816 13644 17088 18192 24256 25632 27288 33731 36384 51264 54576 67462 72768 101193 109152 134924 202386 218304 269848 303579 404772 539696 607158 809544 1079392 1214316 1619088 2158784 2428632 3238176 4857264 6476352 9714528 19429056