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40827336 = 23311217827
BaseRepresentation
bin1001101110111…
…1100111001000
32211211020120120
42123233213020
540422433321
64015023240
71004012064
oct233574710
984736516
1040827336
1121056200
121180ab20
1385c62b4
1455caaa4
1538b6ec6
hex26ef9c8

40827336 has 96 divisors (see below), whose sum is σ = 118933920. Its totient is φ = 11630080.

The previous prime is 40827301. The next prime is 40827359. The reversal of 40827336 is 63372804.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40827297 and 40827306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48955 + ... + 49781.

It is an arithmetic number, because the mean of its divisors is an integer number (1238895).

Almost surely, 240827336 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 40827336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466960).

40827336 is an abundant number, since it is smaller than the sum of its proper divisors (78106584).

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

40827336 is a wasteful number, since it uses less digits than its factorization.

40827336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 40827336 is about 6389.6272191733. The cubic root of 40827336 is about 344.3369917418.

The spelling of 40827336 in words is "forty million, eight hundred twenty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 827 968 1122 1452 1496 1654 2057 2244 2481 2904 3308 4114 4488 4962 6171 6616 8228 9097 9924 12342 14059 16456 18194 19848 24684 27291 28118 36388 42177 49368 54582 56236 72776 84354 100067 109164 112472 154649 168708 200134 218328 300201 309298 337416 400268 463947 600402 618596 800536 927894 1200804 1237192 1701139 1855788 2401608 3402278 3711576 5103417 6804556 10206834 13609112 20413668 40827336