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8000046 = 2373159
BaseRepresentation
bin11110100001001000101110
3120001110000000
4132201020232
54022000141
6443245130
7124666515
oct36411056
916043000
108000046
11457460a
1228197a6
131871472
1410c367c
15a805b6
hex7a122e

8000046 has 64 divisors (see below), whose sum is σ = 18892800. Its totient is φ = 2536920.

The previous prime is 8000033. The next prime is 8000051. The reversal of 8000046 is 6400008.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 7999992 and 8000028.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 135565 + ... + 135623.

It is an arithmetic number, because the mean of its divisors is an integer number (295200).

Almost surely, 28000046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9446400).

8000046 is an abundant number, since it is smaller than the sum of its proper divisors (10892754).

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

8000046 is an equidigital number, since it uses as much as digits as its factorization.

8000046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8000046 is about 2828.4352564625. The cubic root of 8000046 is about 200.0003833326. Note that the first 3 decimals are identical.

The spelling of 8000046 in words is "eight million, forty-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 18 27 31 54 59 62 81 93 118 162 177 186 243 279 354 486 531 558 729 837 1062 1458 1593 1674 1829 2187 2511 3186 3658 4374 4779 5022 5487 7533 9558 10974 14337 15066 16461 22599 28674 32922 43011 45198 49383 67797 86022 98766 129033 135594 148149 258066 296298 444447 888894 1333341 2666682 4000023 8000046