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40819464 = 233478999
BaseRepresentation
bin1001101110110…
…1101100001000
32211210211210000
42123231230020
540422210324
64014523000
71003650120
oct233555410
984724700
1040819464
11210502a4
1211806460
1385c283a
1455c7c80
1538b49c9
hex26edb08

40819464 has 80 divisors (see below), whose sum is σ = 130680000. Its totient is φ = 11661408.

The previous prime is 40819459. The next prime is 40819507. The reversal of 40819464 is 46491804.

It is a happy number.

40819464 is a `hidden beast` number, since 408 + 194 + 64 = 666.

40819464 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 (36).

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 19 ways as a sum of consecutive naturals, for example, 37 + ... + 9035.

It is an arithmetic number, because the mean of its divisors is an integer number (1633500).

Almost surely, 240819464 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 40819464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65340000).

40819464 is an abundant number, since it is smaller than the sum of its proper divisors (89860536).

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

40819464 is a wasteful number, since it uses less digits than its factorization.

40819464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9024 (or 9011 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40819464 is about 6389.0111910999. The cubic root of 40819464 is about 344.3148595521.

The spelling of 40819464 in words is "forty million, eight hundred nineteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 8999 17998 26997 35996 53994 62993 71992 80991 107988 125986 161982 188979 215976 242973 251972 323964 377958 485946 503944 566937 647928 728919 755916 971892 1133874 1457838 1511832 1700811 1943784 2267748 2915676 3401622 4535496 5102433 5831352 6803244 10204866 13606488 20409732 40819464