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192063042 = 23317231397
BaseRepresentation
bin10110111001010…
…10011001000010
3111101101210222000
423130222121002
5343132004132
631020324430
74521336363
oct1334523102
9441353860
10192063042
1199461896
12543a3716
1330a38792
141b717b6a
1511cdc87c
hexb72a642

192063042 has 96 divisors (see below), whose sum is σ = 469194240. Its totient is φ = 58164480.

The previous prime is 192063031. The next prime is 192063061. The reversal of 192063042 is 240360291.

192063042 is a `hidden beast` number, since 1 + 9 + 20 + 630 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 192062997 and 192063015.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 483588 + ... + 483984.

It is an arithmetic number, because the mean of its divisors is an integer number (4887440).

Almost surely, 2192063042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192063042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234597120).

192063042 is an abundant number, since it is smaller than the sum of its proper divisors (277131198).

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

192063042 is a wasteful number, since it uses less digits than its factorization.

192063042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 192063042 is about 13858.6811060793. The cubic root of 192063042 is about 576.9629616979.

The spelling of 192063042 in words is "one hundred ninety-two million, sixty-three thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 289 306 397 459 527 558 578 794 837 867 918 1054 1191 1581 1674 1734 2382 2601 3162 3573 4743 5202 6749 7146 7803 8959 9486 10719 12307 13498 14229 15606 17918 20247 21438 24614 26877 28458 36921 40494 53754 60741 73842 80631 110763 114733 121482 161262 182223 209219 221526 229466 241893 332289 344199 364446 418438 483786 627657 664578 688398 1032597 1255314 1882971 2065194 3097791 3556723 3765942 5648913 6195582 7113446 10670169 11297826 21340338 32010507 64021014 96031521 192063042