Search a number
-
+
90375424 = 28491719
BaseRepresentation
bin1010110001100…
…00010100000000
320022001112202221
411120300110000
5141114003144
612545020424
72145115126
oct530602400
9208045687
1090375424
1147018437
1226324714
1315953aa9
14c007916
157e02d84
hex5630500

90375424 has 36 divisors (see below), whose sum is σ = 181016640. Its totient is φ = 45032960.

The previous prime is 90375401. The next prime is 90375469. The reversal of 90375424 is 42457309.

It is a self number, because there is not a number n which added to its sum of digits gives 90375424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125337 + ... + 126055.

It is an arithmetic number, because the mean of its divisors is an integer number (5028240).

Almost surely, 290375424 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 90375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90508320).

90375424 is an abundant number, since it is smaller than the sum of its proper divisors (90641216).

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

90375424 is an equidigital number, since it uses as much as digits as its factorization.

90375424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 90375424 is about 9506.5989712410. The cubic root of 90375424 is about 448.7627313060.

The spelling of 90375424 in words is "ninety million, three hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 491 719 982 1438 1964 2876 3928 5752 7856 11504 15712 23008 31424 46016 62848 92032 125696 184064 353029 706058 1412116 2824232 5648464 11296928 22593856 45187712 90375424