Search a number
-
+
2969113728 = 27372941929
BaseRepresentation
bin1011000011111001…
…0001010010000000
321122220220121100010
42300332101102000
522040043114403
61210342224520
7133402023150
oct26076212200
97586817303
102969113728
111293a950a9
126aa425140
1338418c039
14202486760
151259e2603
hexb0f91480

2969113728 has 256 divisors, whose sum is σ = 9561888000. Its totient is φ = 798228480.

The previous prime is 2969113709. The next prime is 2969113787. The reversal of 2969113728 is 8273119692.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3195568 + ... + 3196496.

It is an arithmetic number, because the mean of its divisors is an integer number (37351125).

Almost surely, 22969113728 is an apocalyptic number.

2969113728 is a gapful number since it is divisible by the number (28) 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 2969113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780944000).

2969113728 is an abundant number, since it is smaller than the sum of its proper divisors (6592774272).

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

2969113728 is a wasteful number, since it uses less digits than its factorization.

2969113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1011 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 2969113728 is about 54489.5744890708. The cubic root of 2969113728 is about 1437.2829630540.

The spelling of 2969113728 in words is "two billion, nine hundred sixty-nine million, one hundred thirteen thousand, seven hundred twenty-eight".