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2838467412 = 2232118878081
BaseRepresentation
bin1010100100101111…
…1001001101010100
321022211002002021200
42221023321031110
521303121424122
61145354112500
7130224401124
oct25113711524
97284062250
102838467412
111227271640
1267271b730
133630a8321
141ccd98c84
151192d75ac
hexa92f9354

2838467412 has 72 divisors (see below), whose sum is σ = 7837083072. Its totient is φ = 859065600.

The previous prime is 2838467389. The next prime is 2838467413. The reversal of 2838467412 is 2147648382.

It is a happy number.

2838467412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838467413) 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, 347212 + ... + 355292.

It is an arithmetic number, because the mean of its divisors is an integer number (108848376).

Almost surely, 22838467412 is an apocalyptic number.

2838467412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838467412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918541536).

2838467412 is an abundant number, since it is smaller than the sum of its proper divisors (4998615660).

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

2838467412 is a wasteful number, since it uses less digits than its factorization.

2838467412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8989 (or 8984 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2838467412 is about 53277.2691867742. The cubic root of 2838467412 is about 1415.8849674340.

The spelling of 2838467412 in words is "two billion, eight hundred thirty-eight million, four hundred sixty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 887 1774 2661 3548 5322 7983 8081 9757 10644 15966 16162 19514 24243 29271 31932 32324 39028 48486 58542 72729 87813 88891 96972 117084 145458 175626 177782 266673 290916 351252 355564 533346 800019 1066692 1600038 3200076 7167847 14335694 21503541 28671388 43007082 64510623 78846317 86014164 129021246 157692634 236538951 258042492 315385268 473077902 709616853 946155804 1419233706 2838467412