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2390209848 = 2332136141863
BaseRepresentation
bin1000111001110111…
…1011010100111000
320011120121020111200
42032131323110320
514343343203343
61033102254200
7113142306555
oct21635732470
96146536450
102390209848
111017236044
12568587360
132c126b770
14189631a2c
15dec904d3
hex8e77b538

2390209848 has 96 divisors (see below), whose sum is σ = 7085900640. Its totient is φ = 723375360.

The previous prime is 2390209813. The next prime is 2390209849. The reversal of 2390209848 is 8489020932.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2390209849) 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, 36165 + ... + 78027.

It is an arithmetic number, because the mean of its divisors is an integer number (73811465).

Almost surely, 22390209848 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 2390209848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542950320).

2390209848 is an abundant number, since it is smaller than the sum of its proper divisors (4695690792).

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

2390209848 is a wasteful number, since it uses less digits than its factorization.

2390209848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41949 (or 41942 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2390209848 is about 48889.7724273697. The cubic root of 2390209848 is about 1337.0429051254.

The spelling of 2390209848 in words is "two billion, three hundred ninety million, two hundred nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1586 2196 2379 3172 4392 4758 6344 7137 9516 14274 19032 28548 41863 57096 83726 125589 167452 251178 334904 376767 502356 544219 753534 1004712 1088438 1507068 1632657 2176876 2553643 3014136 3265314 4353752 4897971 5107286 6530628 7660929 9795942 10214572 13061256 15321858 19591884 20429144 22982787 30643716 33197359 39183768 45965574 61287432 66394718 91931148 99592077 132789436 183862296 199184154 265578872 298776231 398368308 597552462 796736616 1195104924 2390209848