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40533636 = 223111322379
BaseRepresentation
bin1001101010011…
…1111010000100
32211021022200210
42122213322010
540334034021
64004435420
71001346603
oct232477204
984238623
1040533636
1120975580
12116a8b70
138522700
145551a3a
153859e76
hex26a7e84

40533636 has 144 divisors (see below), whose sum is σ = 118056960. Its totient is φ = 10707840.

The previous prime is 40533629. The next prime is 40533643. The reversal of 40533636 is 63633504.

40533636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40533629) and next prime (40533643).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513045 + ... + 513123.

It is an arithmetic number, because the mean of its divisors is an integer number (819840).

Almost surely, 240533636 is an apocalyptic number.

40533636 is a gapful number since it is divisible by the number (46) 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 40533636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59028480).

40533636 is an abundant number, since it is smaller than the sum of its proper divisors (77523324).

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

40533636 is a wasteful number, since it uses less digits than its factorization.

40533636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 40533636 is about 6366.6031759487. The cubic root of 40533636 is about 343.5093170965.

The spelling of 40533636 in words is "forty million, five hundred thirty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 79 92 132 138 143 156 158 169 237 253 276 286 299 316 338 429 474 506 507 572 598 676 759 858 869 897 948 1012 1014 1027 1196 1518 1716 1738 1794 1817 1859 2028 2054 2607 3036 3081 3289 3476 3588 3634 3718 3887 4108 5214 5451 5577 6162 6578 7268 7436 7774 9867 10428 10902 11154 11297 11661 12324 13156 13351 15548 19734 19987 21804 22308 22594 23322 23621 26702 33891 39468 39974 40053 42757 45188 46644 47242 53404 59961 67782 70863 79948 80106 85514 94484 119922 128271 135564 141726 146861 160212 171028 239844 256542 259831 283452 293722 307073 440583 513084 519662 587444 614146 779493 881166 921219 1039324 1228292 1558986 1762332 1842438 3117972 3377803 3684876 6755606 10133409 13511212 20266818 40533636