Search a number
-
+
90434992 = 2429672909
BaseRepresentation
bin1010110001111…
…10110110110000
320022011120111011
411120332312300
5141122404432
612550200304
72145453604
oct530766660
9208146434
1090434992
114705916a
1226353094
1315974c3b
14c021504
157e15847
hex563edb0

90434992 has 40 divisors (see below), whose sum is σ = 184028400. Its totient is φ = 42991872.

The previous prime is 90434987. The next prime is 90434999. The reversal of 90434992 is 29943409.

It is not an unprimeable number, because it can be changed into a prime (90434999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29634 + ... + 32542.

It is an arithmetic number, because the mean of its divisors is an integer number (4600710).

Almost surely, 290434992 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 90434992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92014200).

90434992 is an abundant number, since it is smaller than the sum of its proper divisors (93593408).

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

90434992 is a wasteful number, since it uses less digits than its factorization.

90434992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 90434992 is about 9509.7314367967. The cubic root of 90434992 is about 448.8613054028.

The spelling of 90434992 in words is "ninety million, four hundred thirty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 58 67 116 134 232 268 464 536 1072 1943 2909 3886 5818 7772 11636 15544 23272 31088 46544 84361 168722 194903 337444 389806 674888 779612 1349776 1559224 3118448 5652187 11304374 22608748 45217496 90434992