Search a number
-
+
90362832 = 2437268937
BaseRepresentation
bin1010110001011…
…01001111010000
320022000220111120
411120231033100
5141113102312
612544442240
72145033330
oct530551720
9208026446
1090362832
1147009a2a
1226319380
131594b141
14c0030c0
157dee28c
hex562d3d0

90362832 has 40 divisors (see below), whose sum is σ = 266786496. Its totient is φ = 25817856.

The previous prime is 90362821. The next prime is 90362849. The reversal of 90362832 is 23826309.

It is a junction number, because it is equal to n+sod(n) for n = 90362793 and 90362802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134133 + ... + 134804.

Almost surely, 290362832 is an apocalyptic number.

It is an amenable number.

90362832 is an abundant number, since it is smaller than the sum of its proper divisors (176423664).

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

90362832 is a wasteful number, since it uses less digits than its factorization.

90362832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268955 (or 268949 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 90362832 is about 9505.9366713649. The cubic root of 90362832 is about 448.7418883138.

The spelling of 90362832 in words is "ninety million, three hundred sixty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 268937 537874 806811 1075748 1613622 1882559 2151496 3227244 3765118 4302992 5647677 6454488 7530236 11295354 12908976 15060472 22590708 30120944 45181416 90362832