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40533864 = 23373143181
BaseRepresentation
bin1001101010011…
…1111101101000
32211021100000020
42122213331220
540334040424
64004440440
71001350350
oct232477550
984240006
1040533864
1120975768
12116a9120
138522847
145551b60
15385a079
hex26a7f68

40533864 has 128 divisors (see below), whose sum is σ = 123002880. Its totient is φ = 10886400.

The previous prime is 40533863. The next prime is 40533869. The reversal of 40533864 is 46833504.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40533863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223854 + ... + 224034.

It is an arithmetic number, because the mean of its divisors is an integer number (960960).

Almost surely, 240533864 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 40533864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61501440).

40533864 is an abundant number, since it is smaller than the sum of its proper divisors (82469016).

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

40533864 is a wasteful number, since it uses less digits than its factorization.

40533864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 40533864 is about 6366.6210818612. The cubic root of 40533864 is about 343.5099611705.

The spelling of 40533864 in words is "forty million, five hundred thirty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 43 56 62 84 86 93 124 129 168 172 181 186 217 248 258 301 344 362 372 434 516 543 602 651 724 744 868 903 1032 1086 1204 1267 1302 1333 1448 1736 1806 2172 2408 2534 2604 2666 3612 3801 3999 4344 5068 5208 5332 5611 7224 7602 7783 7998 9331 10136 10664 11222 15204 15566 15996 16833 18662 22444 23349 27993 30408 31132 31992 33666 37324 39277 44888 46698 54481 55986 62264 67332 74648 78554 93396 108962 111972 117831 134664 157108 163443 186792 217924 223944 235662 241273 314216 326886 435848 471324 482546 653772 723819 942648 965092 1307544 1447638 1688911 1930184 2895276 3377822 5066733 5790552 6755644 10133466 13511288 20266932 40533864