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90250300 = 22527314159
BaseRepresentation
bin1010110000100…
…01110000111100
320021211012010201
411120101300330
5141101002200
612542213244
72144054260
oct530216074
9207735121
1090250300
1146a42428
1226284224
131590bb5a
14bdb40a0
157dcac6a
hex5611c3c

90250300 has 72 divisors (see below), whose sum is σ = 231096320. Its totient is φ = 29937600.

The previous prime is 90250271. The next prime is 90250309. The reversal of 90250300 is 305209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90250309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19621 + ... + 23779.

Almost surely, 290250300 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 90250300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115548160).

90250300 is an abundant number, since it is smaller than the sum of its proper divisors (140846020).

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

90250300 is a wasteful number, since it uses less digits than its factorization.

90250300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 90250300 is about 9500.0157894606. The cubic root of 90250300 is about 448.5555329366. Note that the first 4 decimals are identical.

Adding to 90250300 its reverse (305209), we get a palindrome (90555509).

The spelling of 90250300 in words is "ninety million, two hundred fifty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4159 4340 5425 8318 10850 16636 20795 21700 29113 41590 58226 83180 103975 116452 128929 145565 207950 257858 291130 415900 515716 582260 644645 727825 902503 1289290 1455650 1805006 2578580 2911300 3223225 3610012 4512515 6446450 9025030 12892900 18050060 22562575 45125150 90250300