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90250146 = 2337298233
BaseRepresentation
bin1010110000100…
…01101110100010
320021211011221000
411120101232202
5141101001041
612542212430
72144053650
oct530215642
9207734830
1090250146
1146a422a8
1226284116
131590ba6c
14bdb3dd0
157dcabb6
hex5611ba2

90250146 has 64 divisors (see below), whose sum is σ = 237139200. Its totient is φ = 24893568.

The previous prime is 90250109. The next prime is 90250169. The reversal of 90250146 is 64105209.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6846 + ... + 15078.

It is an arithmetic number, because the mean of its divisors is an integer number (3705300).

Almost surely, 290250146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90250146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118569600).

90250146 is an abundant number, since it is smaller than the sum of its proper divisors (146889054).

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

90250146 is a wasteful number, since it uses less digits than its factorization.

90250146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90250146 is about 9500.0076842074. The cubic root of 90250146 is about 448.5552778032. Note that the first 3 decimals are identical.

The spelling of 90250146 in words is "ninety million, two hundred fifty thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 1218 1566 1827 3654 5481 8233 10962 16466 24699 49398 57631 74097 115262 148194 172893 222291 238757 345786 444582 477514 518679 716271 1037358 1432542 1556037 1671299 2148813 3112074 3342598 4297626 5013897 6446439 10027794 12892878 15041691 30083382 45125073 90250146