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40830480 = 243456301
BaseRepresentation
bin1001101111000…
…0011000010000
32211211101220000
42123300120100
540423033410
64015050000
71004024205
oct233603020
984741800
1040830480
11210585a9
1211810900
1385c7862
1455cbcac
1538b7dc0
hex26f0610

40830480 has 100 divisors (see below), whose sum is σ = 141832812. Its totient is φ = 10886400.

The previous prime is 40830443. The next prime is 40830509. The reversal of 40830480 is 8403804.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 20903184 = 4464^2 + 4572^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3330 + ... + 9630.

Almost surely, 240830480 is an apocalyptic number.

40830480 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 40830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70916406).

40830480 is an abundant number, since it is smaller than the sum of its proper divisors (101002332).

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

40830480 is a wasteful number, since it uses less digits than its factorization.

40830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40830480 is about 6389.8732381793. The cubic root of 40830480 is about 344.3458303274.

The spelling of 40830480 in words is "forty million, eight hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6301 6480 12602 18903 25204 31505 37806 50408 56709 63010 75612 94515 100816 113418 126020 151224 170127 189030 226836 252040 283545 302448 340254 378060 453672 504080 510381 567090 680508 756120 850635 907344 1020762 1134180 1361016 1512240 1701270 2041524 2268360 2551905 2722032 3402540 4083048 4536720 5103810 6805080 8166096 10207620 13610160 20415240 40830480