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19516842 = 233734951
BaseRepresentation
bin100101001110…
…0110110101010
31100201120002000
41022130312222
514444014332
61534151430
7324614262
oct112346652
940646060
1019516842
1110020324
126652576
134074537
1428407a2
151aa7b7c
hex129cdaa

19516842 has 32 divisors (see below), whose sum is σ = 43973760. Its totient is φ = 6415200.

The previous prime is 19516841. The next prime is 19516843. The reversal of 19516842 is 24861591.

It is an interprime number because it is at equal distance from previous prime (19516841) and next prime (19516843).

It is a junction number, because it is equal to n+sod(n) for n = 19516797 and 19516806.

It is not an unprimeable number, because it can be changed into a prime (19516841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467 + ... + 6417.

It is an arithmetic number, because the mean of its divisors is an integer number (1374180).

Almost surely, 219516842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19516842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986880).

19516842 is an abundant number, since it is smaller than the sum of its proper divisors (24456918).

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

19516842 is a wasteful number, since it uses less digits than its factorization.

19516842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5029 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 19516842 is about 4417.7870025614. The cubic root of 19516842 is about 269.2380989611.

The spelling of 19516842 in words is "nineteen million, five hundred sixteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 3942 4951 9902 14853 29706 44559 89118 133677 267354 361423 722846 1084269 2168538 3252807 6505614 9758421 19516842