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4267485642 = 237238535179
BaseRepresentation
bin1111111001011100…
…1010100111001010
3102000102000201202210
43332113022213022
532214434020032
61543243005550
7210516013050
oct37627124712
912012021683
104267485642
11189a980142
129b12098b6
13530176c44
142c6aa21d0
1519e9b02cc
hexfe5ca9ca

4267485642 has 64 divisors (see below), whose sum is σ = 10192250880. Its totient is φ = 1164677184.

The previous prime is 4267485589. The next prime is 4267485647. The reversal of 4267485642 is 2465847624.

It is a super-2 number, since 2×42674856422 = 36422867409352304328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4267485591 and 4267485600.

It is not an unprimeable number, because it can be changed into a prime (4267485647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821409 + ... + 826587.

It is an arithmetic number, because the mean of its divisors is an integer number (159253920).

Almost surely, 24267485642 is an apocalyptic number.

4267485642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4267485642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096125440).

4267485642 is an abundant number, since it is smaller than the sum of its proper divisors (5924765238).

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

4267485642 is a wasteful number, since it uses less digits than its factorization.

4267485642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067.

The product of its digits is 2580480, while the sum is 48.

The square root of 4267485642 is about 65325.9951474143. The cubic root of 4267485642 is about 1622.0242999598.

The spelling of 4267485642 in words is "four billion, two hundred sixty-seven million, four hundred eighty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 853 966 1706 2559 5118 5179 5971 10358 11942 15537 17913 19619 31074 35826 36253 39238 58857 72506 108759 117714 119117 137333 217518 238234 274666 357351 411999 714702 823998 833819 1667638 2501457 4417687 5002914 8835374 13253061 26506122 30923809 61847618 92771427 101606801 185542854 203213602 304820403 609640806 711247607 1422495214 2133742821 4267485642