Search a number
-
+
40422816 = 2532720051
BaseRepresentation
bin1001101000110…
…0110110100000
32211001200200100
42122030312200
540322012231
64002222400
71000405530
oct232146640
984050610
1040422816
11208aa295
1211654a00
1384b4135
1455234c0
1538371e6
hex268cda0

40422816 has 72 divisors (see below), whose sum is σ = 131380704. Its totient is φ = 11548800.

The previous prime is 40422793. The next prime is 40422841. The reversal of 40422816 is 61822404.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 40422816.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8010 + ... + 12041.

It is an arithmetic number, because the mean of its divisors is an integer number (1824732).

Almost surely, 240422816 is an apocalyptic number.

It is an amenable number.

40422816 is an abundant number, since it is smaller than the sum of its proper divisors (90957888).

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

40422816 is a wasteful number, since it uses less digits than its factorization.

40422816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20074 (or 20063 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40422816 is about 6357.8939909376. The cubic root of 40422816 is about 343.1959769362.

It can be divided in two parts, 404 and 22816, that added together give a triangular number (23220 = T215).

The spelling of 40422816 in words is "forty million, four hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 20051 40102 60153 80204 120306 140357 160408 180459 240612 280714 320816 360918 421071 481224 561428 641632 721836 842142 962448 1122856 1263213 1443672 1684284 1924896 2245712 2526426 2887344 3368568 4491424 5052852 5774688 6737136 10105704 13474272 20211408 40422816