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40266828 = 2233731087
BaseRepresentation
bin1001100110011…
…0110001001100
32210202202201000
42121212301030
540302014303
63555020300
7666156000
oct231466114
983682630
1040266828
1120803078
121159a690
13845b134
1454c2700
153805da3
hex2666c4c

40266828 has 96 divisors (see below), whose sum is σ = 121856000. Its totient is φ = 11494224.

The previous prime is 40266823. The next prime is 40266839. The reversal of 40266828 is 82866204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40266792 and 40266801.

It is not an unprimeable number, because it can be changed into a prime (40266823) 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, 36501 + ... + 37587.

Almost surely, 240266828 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 40266828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60928000).

40266828 is an abundant number, since it is smaller than the sum of its proper divisors (81589172).

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

40266828 is a wasteful number, since it uses less digits than its factorization.

40266828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 40266828 is about 6345.6148638253. The cubic root of 40266828 is about 342.7539537679.

The spelling of 40266828 in words is "forty million, two hundred sixty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1087 1323 1372 1764 2058 2174 2646 3087 3261 4116 4348 5292 6174 6522 7609 9261 9783 12348 13044 15218 18522 19566 22827 29349 30436 37044 39132 45654 53263 58698 68481 91308 106526 117396 136962 159789 205443 213052 273924 319578 372841 410886 479367 639156 745682 821772 958734 1118523 1438101 1491364 1917468 2237046 2876202 3355569 4474092 5752404 6711138 10066707 13422276 20133414 40266828