Search a number
-
+
40822980 = 22351125623
BaseRepresentation
bin1001101110111…
…0100011000100
32211211000121020
42123232203010
540422313410
64014551140
71003663302
oct233564304
984730536
1040822980
1121052a00
12118084b0
1385c4313
1455c9272
1538b5a70
hex26ee8c4

40822980 has 72 divisors (see below), whose sum is σ = 125662656. Its totient is φ = 9894720.

The previous prime is 40822973. The next prime is 40822993. The reversal of 40822980 is 8922804.

40822980 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 (33).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4449 + ... + 10071.

Almost surely, 240822980 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 40822980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62831328).

40822980 is an abundant number, since it is smaller than the sum of its proper divisors (84839676).

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

40822980 is a wasteful number, since it uses less digits than its factorization.

40822980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 40822980 is about 6389.2863451249. The cubic root of 40822980 is about 344.3247451653.

The spelling of 40822980 in words is "forty million, eight hundred twenty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 5623 7260 11246 16869 22492 28115 33738 56230 61853 67476 84345 112460 123706 168690 185559 247412 309265 337380 371118 618530 680383 742236 927795 1237060 1360766 1855590 2041149 2721532 3401915 3711180 4082298 6803830 8164596 10205745 13607660 20411490 40822980