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90383048 = 2372972377
BaseRepresentation
bin1010110001100…
…10001011001000
320022001221020022
411120302023020
5141114224143
612545120012
72145146300
oct530621310
9208057208
1090383048
1147023138
1226329008
13159573c2
14c00a600
157e05268
hex56322c8

90383048 has 48 divisors (see below), whose sum is σ = 199252620. Its totient is φ = 38320128.

The previous prime is 90383039. The next prime is 90383081. The reversal of 90383048 is 84038309.

It is a Cunningham number, because it is equal to 95072-1.

It can be written as a sum of positive squares in 2 ways, for example, as 89832484 + 550564 = 9478^2 + 742^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90382999 and 90383017.

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 11 ways as a sum of consecutive naturals, for example, 36836 + ... + 39212.

Almost surely, 290383048 is an apocalyptic number.

90383048 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90383048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99626310).

90383048 is an abundant number, since it is smaller than the sum of its proper divisors (108869572).

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

90383048 is a wasteful number, since it uses less digits than its factorization.

90383048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 90383048 is about 9506.9999474072. Note that the first 4 decimals coincide. The cubic root of 90383048 is about 448.7753500420.

The spelling of 90383048 in words is "ninety million, three hundred eighty-three thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 97 98 194 196 388 392 679 776 1358 2377 2716 4753 4754 5432 9506 9508 16639 19012 19016 33278 38024 66556 116473 133112 230569 232946 461138 465892 922276 931784 1613983 1844552 3227966 6455932 11297881 12911864 22595762 45191524 90383048