[go: up one dir, main page]

Search a number
-
+
4842638568 = 233333167733
BaseRepresentation
bin1001000001010010…
…01100110011101000
3110111111021112021000
410200221030303220
534404203413233
62120310315000
7231001514535
oct44051146350
913444245230
104842638568
1120655a8039
12b31958a60
135c2383111
1433d21bd8c
151d5220d13
hex120a4cce8

4842638568 has 64 divisors (see below), whose sum is σ = 13492612800. Its totient is φ = 1609312320.

The previous prime is 4842638539. The next prime is 4842638587. The reversal of 4842638568 is 8658362484.

4842638568 is a `hidden beast` number, since 4 + 8 + 42 + 6 + 38 + 568 = 666.

It is a super-2 number, since 2×48426385682 = 46902296600562181248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 37630 + ... + 105362.

It is an arithmetic number, because the mean of its divisors is an integer number (210822075).

Almost surely, 24842638568 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 4842638568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746306400).

4842638568 is an abundant number, since it is smaller than the sum of its proper divisors (8649974232).

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

4842638568 is a wasteful number, since it uses less digits than its factorization.

4842638568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68079 (or 68069 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 4842638568 is about 69589.0693140812. The cubic root of 4842638568 is about 1691.8454413420.

The spelling of 4842638568 in words is "four billion, eight hundred forty-two million, six hundred thirty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 331 662 993 1324 1986 2648 2979 3972 5958 7944 8937 11916 17874 23832 35748 67733 71496 135466 203199 270932 406398 541864 609597 812796 1219194 1625592 1828791 2438388 3657582 4876776 7315164 14630328 22419623 44839246 67258869 89678492 134517738 179356984 201776607 269035476 403553214 538070952 605329821 807106428 1210659642 1614212856 2421319284 4842638568