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90258196 = 22721912411
BaseRepresentation
bin1010110000100…
…11101100010100
320021211120222011
411120103230110
5141101230241
612542314004
72144116300
oct530235424
9207746864
1090258196
1146a48356
1226288904
1315912622
14bdb6d00
157dcd281
hex5613b14

90258196 has 36 divisors (see below), whose sum is σ = 184778496. Its totient is φ = 38463600.

The previous prime is 90258173. The next prime is 90258197. The reversal of 90258196 is 69185209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90258197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36231 + ... + 38641.

It is an arithmetic number, because the mean of its divisors is an integer number (5132736).

Almost surely, 290258196 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 90258196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92389248).

90258196 is an abundant number, since it is smaller than the sum of its proper divisors (94520300).

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

90258196 is a wasteful number, since it uses less digits than its factorization.

90258196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 90258196 is about 9500.4313586279. The cubic root of 90258196 is about 448.5686139317.

The spelling of 90258196 in words is "ninety million, two hundred fifty-eight thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 191 196 382 764 1337 2411 2674 4822 5348 9359 9644 16877 18718 33754 37436 67508 118139 236278 460501 472556 921002 1842004 3223507 6447014 12894028 22564549 45129098 90258196