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2688420744 = 233237339177
BaseRepresentation
bin1010000000111110…
…0000101110001000
320221100201220221200
42200033200232020
521001213430434
61122434104200
7123423125232
oct24017405610
96840656850
102688420744
11115a5a8329
1263041b060
1333ac91109
141b709b252
1510b049199
hexa03e0b88

2688420744 has 24 divisors (see below), whose sum is σ = 7281139710. Its totient is φ = 896140224.

The previous prime is 2688420737. The next prime is 2688420811. The reversal of 2688420744 is 4470248862.

It can be written as a sum of positive squares in only one way, i.e., 1509322500 + 1179098244 = 38850^2 + 34338^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2688420744.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18669517 + ... + 18669660.

Almost surely, 22688420744 is an apocalyptic number.

2688420744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2688420744 is an abundant number, since it is smaller than the sum of its proper divisors (4592718966).

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

2688420744 is a wasteful number, since it uses less digits than its factorization.

2688420744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37339189 (or 37339182 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2688420744 is about 51849.9830665353. The cubic root of 2688420744 is about 1390.4831996735.

The spelling of 2688420744 in words is "two billion, six hundred eighty-eight million, four hundred twenty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 37339177 74678354 112017531 149356708 224035062 298713416 336052593 448070124 672105186 896140248 1344210372 2688420744