Search a number
-
+
2977044 = 223726183
BaseRepresentation
bin1011010110110100010100
312121020201220
423112310110
51230231134
6143450340
734206300
oct13266424
95536656
102977044
111753774
12bb69b0
13803085
14576d00
153dc149
hex2d6d14

2977044 has 72 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 826560.

The previous prime is 2977043. The next prime is 2977049. The reversal of 2977044 is 4407792.

2977044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2976996 and 2977014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2977043) 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 23 ways as a sum of consecutive naturals, for example, 35827 + ... + 35909.

It is an arithmetic number, because the mean of its divisors is an integer number (115444).

22977044 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 2977044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

2977044 is an abundant number, since it is smaller than the sum of its proper divisors (5334924).

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

2977044 is a wasteful number, since it uses less digits than its factorization.

2977044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 2977044 is about 1725.4112553244. The cubic root of 2977044 is about 143.8561449178.

The spelling of 2977044 in words is "two million, nine hundred seventy-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 83 84 98 122 147 166 183 196 244 249 294 332 366 427 498 581 588 732 854 996 1162 1281 1708 1743 2324 2562 2989 3486 4067 5063 5124 5978 6972 8134 8967 10126 11956 12201 15189 16268 17934 20252 24402 30378 35441 35868 48804 60756 70882 106323 141764 212646 248087 425292 496174 744261 992348 1488522 2977044