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40814280 = 23355131719
BaseRepresentation
bin1001101110110…
…0011011001000
32211210120200000
42123230123020
540422024110
64014443000
71003626033
oct233543310
984716600
1040814280
1121047411
1211803460
1385c0380
1455c601a
1538b31c0
hex26ec6c8

40814280 has 384 divisors, whose sum is σ = 165110400. Its totient is φ = 8957952.

The previous prime is 40814273. The next prime is 40814317. The reversal of 40814280 is 8241804.

40814280 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 (27).

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 95 ways as a sum of consecutive naturals, for example, 2148111 + ... + 2148129.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 240814280 is an apocalyptic number.

40814280 is a gapful number since it is divisible by the number (40) 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 40814280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

40814280 is an abundant number, since it is smaller than the sum of its proper divisors (124296120).

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

40814280 is a wasteful number, since it uses less digits than its factorization.

40814280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 40814280 is about 6388.6054816368. The cubic root of 40814280 is about 344.3002831416.

The spelling of 40814280 in words is "forty million, eight hundred fourteen thousand, two hundred eighty".