Search a number
-
+
90340592 = 2419436911
BaseRepresentation
bin1010110001001…
…11110011110000
320021222202222212
411120213303300
5141111344332
612544151252
72144611436
oct530476360
9207882885
1090340592
1146aa4251
1226308528
1315940c94
14bdd8d56
157de78b2
hex5627cf0

90340592 has 40 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 41791680.

The previous prime is 90340577. The next prime is 90340633. The reversal of 90340592 is 29504309.

It is a super-2 number, since 2×903405922 = 16322845125820928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9617 + ... + 16527.

It is an arithmetic number, because the mean of its divisors is an integer number (4713984).

Almost surely, 290340592 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 90340592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

90340592 is an abundant number, since it is smaller than the sum of its proper divisors (98218768).

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

90340592 is a wasteful number, since it uses less digits than its factorization.

90340592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6981 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 90340592 is about 9504.7668040831. The cubic root of 90340592 is about 448.7050706745.

The spelling of 90340592 in words is "ninety million, three hundred forty thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 688 817 1634 3268 6536 6911 13072 13822 27644 55288 110576 131309 262618 297173 525236 594346 1050472 1188692 2100944 2377384 4754768 5646287 11292574 22585148 45170296 90340592