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19842864 = 2431014093
BaseRepresentation
bin100101110110…
…0011100110000
31101100010021220
41023230130300
520034432424
61545145040
7330442626
oct113543460
941303256
1019842864
1110223268
12678b180
134159a52
1428c7516
151b1e579
hex12ec730

19842864 has 40 divisors (see below), whose sum is σ = 51780912. Its totient is φ = 6547200.

The previous prime is 19842857. The next prime is 19842869. The reversal of 19842864 is 46824891.

It is not an unprimeable number, because it can be changed into a prime (19842869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2802 + ... + 6894.

Almost surely, 219842864 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 19842864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25890456).

19842864 is an abundant number, since it is smaller than the sum of its proper divisors (31938048).

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

19842864 is a wasteful number, since it uses less digits than its factorization.

19842864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4199 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 19842864 is about 4454.5329721532. The cubic root of 19842864 is about 270.7290038446.

It can be divided in two parts, 19842 and 864, that added together give a triangular number (20706 = T203).

The spelling of 19842864 in words is "nineteen million, eight hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4093 4848 8186 12279 16372 24558 32744 49116 65488 98232 196464 413393 826786 1240179 1653572 2480358 3307144 4960716 6614288 9921432 19842864