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90160048 = 24112292237
BaseRepresentation
bin1010101111110…
…11101110110000
320021122121100001
411113323232300
5141040110143
612540235344
72143230166
oct527735660
9207577301
1090160048
1146990640
122623bb54
13158a9a54
14bd8d236
157dae14d
hex55fbbb0

90160048 has 40 divisors (see below), whose sum is σ = 191483280. Its totient is φ = 40784640.

The previous prime is 90159991. The next prime is 90160051. The reversal of 90160048 is 84006109.

It is a junction number, because it is equal to n+sod(n) for n = 90159998 and 90160025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39186 + ... + 41422.

It is an arithmetic number, because the mean of its divisors is an integer number (4787082).

Almost surely, 290160048 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 90160048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95741640).

90160048 is an abundant number, since it is smaller than the sum of its proper divisors (101323232).

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

90160048 is a wasteful number, since it uses less digits than its factorization.

90160048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 90160048 is about 9495.2645039514. The cubic root of 90160048 is about 448.4059617401.

The spelling of 90160048 in words is "ninety million, one hundred sixty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 229 458 916 1832 2237 2519 3664 4474 5038 8948 10076 17896 20152 24607 35792 40304 49214 98428 196856 393712 512273 1024546 2049092 4098184 5635003 8196368 11270006 22540012 45080024 90160048