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40499640 = 233251931191
BaseRepresentation
bin1001101001111…
…1100110111000
32211012121001200
42122133212320
540331442030
64004014200
71001145516
oct232374670
984177050
1040499640
1120951a85
1211691360
1385100ac
1455434b6
15384ed60
hex269f9b8

40499640 has 192 divisors, whose sum is σ = 143769600. Its totient is φ = 9849600.

The previous prime is 40499639. The next prime is 40499653. The reversal of 40499640 is 4699404.

40499640 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 9 + 640 = 666.

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 = 40499595 and 40499604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211945 + ... + 212135.

It is an arithmetic number, because the mean of its divisors is an integer number (748800).

Almost surely, 240499640 is an apocalyptic number.

40499640 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 40499640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71884800).

40499640 is an abundant number, since it is smaller than the sum of its proper divisors (103269960).

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

40499640 is a wasteful number, since it uses less digits than its factorization.

40499640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40499640 is about 6363.9327463448. The cubic root of 40499640 is about 343.4132552392.

It can be divided in two parts, 4049 and 9640, that added together give a square (13689 = 1172).

The spelling of 40499640 in words is "forty million, four hundred ninety-nine thousand, six hundred forty".