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906242094 = 23497101571
BaseRepresentation
bin110110000001000…
…010100000101110
32100011020212110000
4312001002200232
53323444221334
6225531525130
731312634142
oct6601024056
92304225400
10906242094
1142560610a
122135b97a6
131159a0934
1488503222
1554861299
hex3604282e

906242094 has 80 divisors (see below), whose sum is σ = 2075529456. Its totient is φ = 295488000.

The previous prime is 906242089. The next prime is 906242119. The reversal of 906242094 is 490242609.

906242094 is a `hidden beast` number, since 9 + 0 + 624 + 20 + 9 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 1586829 + ... + 1587399.

Almost surely, 2906242094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906242094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037764728).

906242094 is an abundant number, since it is smaller than the sum of its proper divisors (1169287362).

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

906242094 is a wasteful number, since it uses less digits than its factorization.

906242094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 906242094 is about 30103.8551351816. The cubic root of 906242094 is about 967.7163460659.

The spelling of 906242094 in words is "nine hundred six million, two hundred forty-two thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 97 101 162 194 202 291 303 571 582 606 873 909 1142 1713 1746 1818 2619 2727 3426 5139 5238 5454 7857 8181 9797 10278 15417 15714 16362 19594 29391 30834 46251 55387 57671 58782 88173 92502 110774 115342 166161 173013 176346 264519 332322 346026 498483 519039 529038 793557 996966 1038078 1495449 1557117 1587114 2990898 3114234 4486347 4671351 5594087 8972694 9342702 11188174 16782261 33564522 50346783 100693566 151040349 302080698 453121047 906242094