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2389870848 = 28331372713
BaseRepresentation
bin1000111001110010…
…1000100100000000
320011112222000111010
42032130220210000
514343301331343
61033051120520
7113136365331
oct21634504400
96145860433
102389870848
111017024382
12568443140
132c1180381
14189584288
15dec24d33
hex8e728900

2389870848 has 144 divisors (see below), whose sum is σ = 6745657856. Its totient is φ = 749813760.

The previous prime is 2389870801. The next prime is 2389870849. The reversal of 2389870848 is 8480789832.

It is a super-2 number, since 2×23898708482 = 11422965340240478208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2389870849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879540 + ... + 882252.

Almost surely, 22389870848 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 2389870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372828928).

2389870848 is an abundant number, since it is smaller than the sum of its proper divisors (4355787008).

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

2389870848 is a wasteful number, since it uses less digits than its factorization.

2389870848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The square root of 2389870848 is about 48886.3053216338. The cubic root of 2389870848 is about 1336.9796918507.

The spelling of 2389870848 in words is "two billion, three hundred eighty-nine million, eight hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 128 148 186 192 222 248 256 296 372 384 444 496 592 744 768 888 992 1147 1184 1488 1776 1984 2294 2368 2713 2976 3441 3552 3968 4588 4736 5426 5952 6882 7104 7936 8139 9176 9472 10852 11904 13764 14208 16278 18352 21704 23808 27528 28416 32556 36704 43408 55056 65112 73408 84103 86816 100381 110112 130224 146816 168206 173632 200762 220224 252309 260448 293632 301143 336412 347264 401524 440448 504618 520896 602286 672824 694528 803048 880896 1009236 1041792 1204572 1345648 1606096 2018472 2083584 2409144 2691296 3111811 3212192 4036944 4818288 5382592 6223622 6424384 8073888 9335433 9636576 10765184 12447244 12848768 16147776 18670866 19273152 21530368 24894488 25697536 32295552 37341732 38546304 49788976 64591104 74683464 77092608 99577952 149366928 199155904 298733856 398311808 597467712 796623616 1194935424 2389870848