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4022482068 = 22321119352631
BaseRepresentation
bin1110111111000010…
…0011010010010100
3101101100000021001100
43233300203102110
531214223411233
61503051430100
7201452350653
oct35760432224
911340007040
104022482068
11178464a350
12943155330
134c1493807
142a232719a
15188216813
hexefc23494

4022482068 has 72 divisors (see below), whose sum is σ = 11149983936. Its totient is φ = 1212595200.

The previous prime is 4022482063. The next prime is 4022482099. The reversal of 4022482068 is 8602842204.

It is a happy number.

4022482068 is a `hidden beast` number, since 402 + 2 + 48 + 206 + 8 = 666.

4022482068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (4022482063) 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, 50113 + ... + 102743.

It is an arithmetic number, because the mean of its divisors is an integer number (154860888).

Almost surely, 24022482068 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 4022482068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574991968).

4022482068 is an abundant number, since it is smaller than the sum of its proper divisors (7127501868).

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

4022482068 is a wasteful number, since it uses less digits than its factorization.

4022482068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52845 (or 52840 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4022482068 is about 63423.0405136808. The cubic root of 4022482068 is about 1590.3695023525.

The spelling of 4022482068 in words is "four billion, twenty-two million, four hundred eighty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 193 198 386 396 579 772 1158 1737 2123 2316 3474 4246 6369 6948 8492 12738 19107 25476 38214 52631 76428 105262 157893 210524 315786 473679 578941 631572 947358 1157882 1736823 1894716 2315764 3473646 5210469 6947292 10157783 10420938 20315566 20841876 30473349 40631132 60946698 91420047 111735613 121893396 182840094 223471226 335206839 365680188 446942452 670413678 1005620517 1340827356 2011241034 4022482068