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40808394 = 233112329103
BaseRepresentation
bin1001101110101…
…0111111001010
32211210021121000
42123222333022
540421332034
64014355430
71003602624
oct233527712
984707530
1040808394
1121042a50
12117bbb76
1385ba7a3
1455c3c14
1538b1599
hex26eafca

40808394 has 128 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 11309760.

The previous prime is 40808393. The next prime is 40808399. The reversal of 40808394 is 49380804.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40808393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396147 + ... + 396249.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 240808394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40808394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

40808394 is an abundant number, since it is smaller than the sum of its proper divisors (67018806).

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

40808394 is a wasteful number, since it uses less digits than its factorization.

40808394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

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

The square root of 40808394 is about 6388.1448011140. The cubic root of 40808394 is about 344.2837313457.

The spelling of 40808394 in words is "forty million, eight hundred eight thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 29 33 46 54 58 66 69 87 99 103 138 174 198 206 207 253 261 297 309 319 414 506 522 594 618 621 638 667 759 783 927 957 1133 1242 1334 1518 1566 1854 1914 2001 2266 2277 2369 2781 2871 2987 3399 4002 4554 4738 5562 5742 5974 6003 6798 6831 7107 7337 8613 8961 10197 12006 13662 14214 14674 17226 17922 18009 20394 21321 22011 26059 26883 30591 32857 36018 42642 44022 52118 53766 61182 63963 65714 66033 68701 78177 80649 98571 127926 132066 137402 156354 161298 197142 198099 206103 234531 295713 396198 412206 469062 591426 618309 703593 755711 887139 1236618 1407186 1511422 1774278 1854927 2267133 3709854 4534266 6801399 13602798 20404197 40808394