Search a number
-
+
2972088 = 233275897
BaseRepresentation
bin1011010101100110111000
312120222221100
423111212320
51230101323
6143411400
734155660
oct13254670
95528840
102972088
11174aa79
12bb3b60
13800a42
145751a0
153da943
hex2d59b8

2972088 has 48 divisors (see below), whose sum is σ = 9200880. Its totient is φ = 849024.

The previous prime is 2972071. The next prime is 2972107. The reversal of 2972088 is 8802792.

2972088 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

2972088 is strictly pandigital in base 8.

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, 2445 + ... + 3452.

It is an arithmetic number, because the mean of its divisors is an integer number (191685).

22972088 is an apocalyptic number.

2972088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2972088 is an abundant number, since it is smaller than the sum of its proper divisors (6228792).

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

2972088 is a wasteful number, since it uses less digits than its factorization.

2972088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5916 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2972088 is about 1723.9744777693. The cubic root of 2972088 is about 143.7762729546.

The spelling of 2972088 in words is "two million, nine hundred seventy-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 5897 11794 17691 23588 35382 41279 47176 53073 70764 82558 106146 123837 141528 165116 212292 247674 330232 371511 424584 495348 743022 990696 1486044 2972088