Search a number
-
+
2900882072 = 231125356543
BaseRepresentation
bin1010110011100111…
…1111001010011000
321111011112002002202
42230321333022120
521420111211242
61155503545332
7131613043064
oct25471771230
97434462082
102900882072
111259521700
1268b5bb248
13372cbc38a
141d73a4aa4
1511ea15932
hexace7f298

2900882072 has 48 divisors (see below), whose sum is σ = 6091485120. Its totient is φ = 1293680960.

The previous prime is 2900882053. The next prime is 2900882141. The reversal of 2900882072 is 2702880092.

It is a congruent number.

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, 23033 + ... + 79575.

It is an arithmetic number, because the mean of its divisors is an integer number (126905940).

Almost surely, 22900882072 is an apocalyptic number.

2900882072 is a gapful number since it is divisible by the number (22) 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 2900882072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045742560).

2900882072 is an abundant number, since it is smaller than the sum of its proper divisors (3190603048).

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

2900882072 is a wasteful number, since it uses less digits than its factorization.

2900882072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56624 (or 56609 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 2900882072 is about 53859.8372815960. The cubic root of 2900882072 is about 1426.1877155585.

The spelling of 2900882072 in words is "two billion, nine hundred million, eight hundred eighty-two thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 53 88 106 121 212 242 424 484 583 968 1166 2332 4664 6413 12826 25652 51304 56543 113086 226172 452344 621973 1243946 2487892 2996779 4975784 5993558 6841703 11987116 13683406 23974232 27366812 32964569 54733624 65929138 131858276 263716552 362610259 725220518 1450441036 2900882072