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40942728 = 23321394091
BaseRepresentation
bin1001110000101…
…1110010001000
32212001002212100
42130023302020
540440131403
64021313400
71005002361
oct234136210
985032770
1040942728
1121124972
1211865860
138636988
14561ab68
1538db2a3
hex270bc88

40942728 has 48 divisors (see below), whose sum is σ = 111711600. Its totient is φ = 13546080.

The previous prime is 40942721. The next prime is 40942747. The reversal of 40942728 is 82724904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40942692 and 40942701.

It is not an unprimeable number, because it can be changed into a prime (40942721) 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 11 ways as a sum of consecutive naturals, for example, 7963 + ... + 12053.

It is an arithmetic number, because the mean of its divisors is an integer number (2327325).

Almost surely, 240942728 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 40942728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55855800).

40942728 is an abundant number, since it is smaller than the sum of its proper divisors (70768872).

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

40942728 is a wasteful number, since it uses less digits than its factorization.

40942728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40942728 is about 6398.6504827190. The cubic root of 40942728 is about 344.6610912546.

The spelling of 40942728 in words is "forty million, nine hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 4091 5004 8182 10008 12273 16364 24546 32728 36819 49092 73638 98184 147276 294552 568649 1137298 1705947 2274596 3411894 4549192 5117841 6823788 10235682 13647576 20471364 40942728