Search a number
-
+
90488250 = 23253131307
BaseRepresentation
bin1010110010010…
…11110110111010
320022021021112200
411121023312322
5141131111000
612551251030
72146065066
oct531136672
9208237480
1090488250
1147095186
1226379a76
1315993258
14c036aa6
157e26500
hex564bdba

90488250 has 96 divisors (see below), whose sum is σ = 247351104. Its totient is φ = 23868000.

The previous prime is 90488213. The next prime is 90488267. The reversal of 90488250 is 5288409.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294597 + ... + 294903.

It is an arithmetic number, because the mean of its divisors is an integer number (2576574).

Almost surely, 290488250 is an apocalyptic number.

90488250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90488250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123675552).

90488250 is an abundant number, since it is smaller than the sum of its proper divisors (156862854).

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

90488250 is a wasteful number, since it uses less digits than its factorization.

90488250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 90488250 is about 9512.5312088844. The cubic root of 90488250 is about 448.9494009644.

The spelling of 90488250 in words is "ninety million, four hundred eighty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 131 150 225 250 262 307 375 393 450 614 655 750 786 921 1125 1179 1310 1535 1842 1965 2250 2358 2763 3070 3275 3930 4605 5526 5895 6550 7675 9210 9825 11790 13815 15350 16375 19650 23025 27630 29475 32750 38375 40217 46050 49125 58950 69075 76750 80434 98250 115125 120651 138150 147375 201085 230250 241302 294750 345375 361953 402170 603255 690750 723906 1005425 1206510 1809765 2010850 3016275 3619530 5027125 6032550 9048825 10054250 15081375 18097650 30162750 45244125 90488250