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40422016 = 273161167
BaseRepresentation
bin1001101000110…
…0101010000000
32211001122120201
42122030222000
540322001031
64002214544
71000403305
oct232145200
984048521
1040422016
11208a9728
1211654454
1384b396b
1455230ac
153836d61
hex268ca80

40422016 has 64 divisors (see below), whose sum is σ = 84994560. Its totient is φ = 19123200.

The previous prime is 40422013. The next prime is 40422029. The reversal of 40422016 is 61022404.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 40421984 and 40422002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40422013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241965 + ... + 242131.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 240422016 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 40422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497280).

40422016 is an abundant number, since it is smaller than the sum of its proper divisors (44572544).

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

40422016 is a wasteful number, since it uses less digits than its factorization.

40422016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 40422016 is about 6357.8310767116. The cubic root of 40422016 is about 343.1937128799.

The spelling of 40422016 in words is "forty million, four hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 61 62 64 122 124 128 167 244 248 334 488 496 668 976 992 1336 1891 1952 1984 2672 3782 3904 3968 5177 5344 7564 7808 10187 10354 10688 15128 20374 20708 21376 30256 40748 41416 60512 81496 82832 121024 162992 165664 242048 315797 325984 331328 631594 651968 662656 1263188 1303936 2526376 5052752 10105504 20211008 40422016