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40008228 = 22313318273
BaseRepresentation
bin1001100010011…
…1101000100100
32210021121222020
42120213220210
540220230403
63545303140
7664031031
oct230475044
983247866
1040008228
1120646857
1211494ab0
13839a510
145456388
1537a4453
hex2627a24

40008228 has 48 divisors (see below), whose sum is σ = 103789056. Its totient is φ = 11911680.

The previous prime is 40008223. The next prime is 40008277. The reversal of 40008228 is 82280004.

It is a junction number, because it is equal to n+sod(n) for n = 40008198 and 40008207.

It is not an unprimeable number, because it can be changed into a prime (40008223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700 + ... + 8972.

It is an arithmetic number, because the mean of its divisors is an integer number (2162272).

Almost surely, 240008228 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 40008228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51894528).

40008228 is an abundant number, since it is smaller than the sum of its proper divisors (63780828).

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

40008228 is a wasteful number, since it uses less digits than its factorization.

40008228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40008228 is about 6325.2057674039. The cubic root of 40008228 is about 342.0186371978.

The spelling of 40008228 in words is "forty million, eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 8273 16546 24819 33092 49638 99276 107549 215098 256463 322647 430196 512926 645294 769389 1025852 1290588 1538778 3077556 3334019 6668038 10002057 13336076 20004114 40008228