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2094878304 = 253250314461
BaseRepresentation
bin111110011011101…
…0100111001100000
312101222212211210100
41330313110321200
513242242101204
6543512302400
7102625112631
oct17467247140
95358784710
102094878304
11985560092
124a56a1a00
1327501687c
1415c315888
15c3da4a39
hex7cdd4e60

2094878304 has 72 divisors (see below), whose sum is σ = 5969566512. Its totient is φ = 696856320.

The previous prime is 2094878267. The next prime is 2094878327. The reversal of 2094878304 is 4038784902.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2094878304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137634 + ... + 152094.

It is an arithmetic number, because the mean of its divisors is an integer number (82910646).

Almost surely, 22094878304 is an apocalyptic number.

2094878304 is a gapful number since it is divisible by the number (24) 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 2094878304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984783256).

2094878304 is an abundant number, since it is smaller than the sum of its proper divisors (3874688208).

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

2094878304 is a wasteful number, since it uses less digits than its factorization.

2094878304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14980 (or 14969 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2094878304 is about 45769.8405503012. The cubic root of 2094878304 is about 1279.5372480884.

The spelling of 2094878304 in words is "two billion, ninety-four million, eight hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 503 1006 1509 2012 3018 4024 4527 6036 8048 9054 12072 14461 16096 18108 24144 28922 36216 43383 48288 57844 72432 86766 115688 130149 144864 173532 231376 260298 347064 462752 520596 694128 1041192 1388256 2082384 4164768 7273883 14547766 21821649 29095532 43643298 58191064 65464947 87286596 116382128 130929894 174573192 232764256 261859788 349146384 523719576 698292768 1047439152 2094878304