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2379084192 = 253214955441
BaseRepresentation
bin1000110111001101…
…1111000110100000
320010210122222222100
42031303133012200
514333021143232
61032024010400
7112645611342
oct21563370640
96123588870
102379084192
111010a27191
12564900a00
132bbb74734
14187d77292
15ddce3c7c
hex8dcdf1a0

2379084192 has 72 divisors (see below), whose sum is σ = 6811049700. Its totient is φ = 787691520.

The previous prime is 2379084157. The next prime is 2379084229. The reversal of 2379084192 is 2914809732.

2379084192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2238803856 + 140280336 = 47316^2 + 11844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15192 + ... + 70632.

Almost surely, 22379084192 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 2379084192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405524850).

2379084192 is an abundant number, since it is smaller than the sum of its proper divisors (4431965508).

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

2379084192 is a wasteful number, since it uses less digits than its factorization.

2379084192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55606 (or 55595 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2379084192 is about 48775.8566506012. The cubic root of 2379084192 is about 1334.9651768891.

The spelling of 2379084192 in words is "two billion, three hundred seventy-nine million, eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 10728 14304 21456 42912 55441 110882 166323 221764 332646 443528 498969 665292 887056 997938 1330584 1774112 1995876 2661168 3991752 5322336 7983504 8260709 15967008 16521418 24782127 33042836 49564254 66085672 74346381 99128508 132171344 148692762 198257016 264342688 297385524 396514032 594771048 793028064 1189542096 2379084192