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40403916 = 22327236971
BaseRepresentation
bin1001101000100…
…0001111001100
32211000201202100
42122020033030
540320411131
64001555100
71000266450
oct232101714
984021670
1040403916
1120897073
1211645a90
1384a8657
14551a660
1538317e6
hex26883cc

40403916 has 72 divisors (see below), whose sum is σ = 121814784. Its totient is φ = 11040480.

The previous prime is 40403897. The next prime is 40403927. The reversal of 40403916 is 61930404.

It is a self number, because there is not a number n which added to its sum of digits gives 40403916.

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 23 ways as a sum of consecutive naturals, for example, 2311 + ... + 9281.

It is an arithmetic number, because the mean of its divisors is an integer number (1691872).

Almost surely, 240403916 is an apocalyptic number.

40403916 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40403916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60907392).

40403916 is an abundant number, since it is smaller than the sum of its proper divisors (81410868).

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

40403916 is a wasteful number, since it uses less digits than its factorization.

40403916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7011 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40403916 is about 6356.4074759254. The cubic root of 40403916 is about 343.1424806208.

The spelling of 40403916 in words is "forty million, four hundred three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 6971 13942 20913 27884 41826 48797 62739 83652 97594 125478 146391 160333 195188 250956 292782 320666 439173 480999 585564 641332 878346 961998 1122331 1442997 1756692 1923996 2244662 2885994 3366993 4489324 5771988 6733986 10100979 13467972 20201958 40403916