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40473768 = 2334753677
BaseRepresentation
bin1001101001100…
…1010010101000
32211011021120110
42122121102220
540330130033
64003254320
71001010216
oct232312250
984137513
1040473768
11209345a5
121167a3a0
13850139a
145537cb6
153847363
hex26994a8

40473768 has 64 divisors (see below), whose sum is σ = 105442560. Its totient is φ = 12935936.

The previous prime is 40473761. The next prime is 40473779. The reversal of 40473768 is 86737404.

It is a happy number.

It is a super-2 number, since 2×404737682 = 3276251792235648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40473761) 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 15 ways as a sum of consecutive naturals, for example, 59446 + ... + 60122.

It is an arithmetic number, because the mean of its divisors is an integer number (1647540).

Almost surely, 240473768 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 40473768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52721280).

40473768 is an abundant number, since it is smaller than the sum of its proper divisors (64968792).

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

40473768 is a wasteful number, since it uses less digits than its factorization.

40473768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 40473768 is about 6361.8997162797. The cubic root of 40473768 is about 343.3401131871.

The spelling of 40473768 in words is "forty million, four hundred seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 53 94 106 141 159 188 212 282 318 376 424 564 636 677 1128 1272 1354 2031 2491 2708 4062 4982 5416 7473 8124 9964 14946 16248 19928 29892 31819 35881 59784 63638 71762 95457 107643 127276 143524 190914 215286 254552 287048 381828 430572 763656 861144 1686407 3372814 5059221 6745628 10118442 13491256 20236884 40473768