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2379223872 = 263210140897
BaseRepresentation
bin1000110111010000…
…0001001101000000
320010210221002120200
42031310001031000
514333040130442
61032031005200
7112650032514
oct21564011500
96123832520
102379223872
111011012123
12564969800
132bbbc319c
14187db2144
15ddd2034c
hex8dd01340

2379223872 has 84 divisors (see below), whose sum is σ = 6887304996. Its totient is φ = 785203200.

The previous prime is 2379223849. The next prime is 2379223877. The reversal of 2379223872 is 2783229732.

It can be written as a sum of positive squares in 2 ways, for example, as 2199234816 + 179989056 = 46896^2 + 13416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2379223877) 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 11 ways as a sum of consecutive naturals, for example, 37728 + ... + 78624.

Almost surely, 22379223872 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 2379223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443652498).

2379223872 is an abundant number, since it is smaller than the sum of its proper divisors (4508081124).

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

2379223872 is a wasteful number, since it uses less digits than its factorization.

2379223872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41016 (or 41003 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 2379223872 is about 48777.2884855237. The cubic root of 2379223872 is about 1334.9913023883.

The spelling of 2379223872 in words is "two billion, three hundred seventy-nine million, two hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 144 192 202 288 303 404 576 606 808 909 1212 1616 1818 2424 3232 3636 4848 6464 7272 9696 14544 19392 29088 40897 58176 81794 122691 163588 245382 327176 368073 490764 654352 736146 981528 1308704 1472292 1963056 2617408 2944584 3926112 4130597 5889168 7852224 8261194 11778336 12391791 16522388 23556672 24783582 33044776 37175373 49567164 66089552 74350746 99134328 132179104 148701492 198268656 264358208 297402984 396537312 594805968 793074624 1189611936 2379223872