Search a number
-
+
2993032 = 237192997
BaseRepresentation
bin1011011010101110001000
312122001200001
423122232020
51231234112
6144052344
734304020
oct13325610
95561601
102993032
111764789
1210040b4
1380a433
1457ca80
153e1c57
hex2dab88

2993032 has 64 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 1161216.

The previous prime is 2993027. The next prime is 2993033. The reversal of 2993032 is 2303992.

It is a happy number.

2993032 is digitally balanced in base 2, 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 (28).

It is not an unprimeable number, because it can be changed into a prime (2993033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30808 + ... + 30904.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

22993032 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 2993032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2993032 is an abundant number, since it is smaller than the sum of its proper divisors (4062968).

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

2993032 is a wasteful number, since it uses less digits than its factorization.

2993032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 2993032 is about 1730.0381498684. The cubic root of 2993032 is about 144.1132083010.

The spelling of 2993032 in words is "two million, nine hundred ninety-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 97 116 133 152 194 203 232 266 388 406 532 551 679 776 812 1064 1102 1358 1624 1843 2204 2716 2813 3686 3857 4408 5432 5626 7372 7714 11252 12901 14744 15428 19691 22504 25802 30856 39382 51604 53447 78764 103208 106894 157528 213788 374129 427576 748258 1496516 2993032