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2987988 = 2231797151
BaseRepresentation
bin1011011001011111010100
312121210202020
423121133110
51231103423
6144013140
734253223
oct13313724
95553666
102987988
111760a13
1210011b0
13808053
1457acba
153e04e3
hex2d97d4

2987988 has 48 divisors (see below), whose sum is σ = 7507584. Its totient is φ = 921600.

The previous prime is 2987983. The next prime is 2987989. The reversal of 2987988 is 8897892.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2987988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2987983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19713 + ... + 19863.

It is an arithmetic number, because the mean of its divisors is an integer number (156408).

22987988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2987988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753792).

2987988 is an abundant number, since it is smaller than the sum of its proper divisors (4519596).

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

2987988 is a wasteful number, since it uses less digits than its factorization.

2987988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its digits is 580608, while the sum is 51.

The square root of 2987988 is about 1728.5797638524. The cubic root of 2987988 is about 144.0322073021.

The spelling of 2987988 in words is "two million, nine hundred eighty-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 97 102 151 194 204 291 302 388 453 582 604 906 1164 1649 1812 2567 3298 4947 5134 6596 7701 9894 10268 14647 15402 19788 29294 30804 43941 58588 87882 175764 248999 497998 746997 995996 1493994 2987988