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90087438 = 237472971
BaseRepresentation
bin1010101111010…
…10000000001110
320021111220201210
411113222000032
5141030244223
612534515250
72142505410
oct527520016
9207456653
1090087438
1146941031
1226205b26
131588299c
14bd709b0
157d97893
hex55ea00e

90087438 has 48 divisors (see below), whose sum is σ = 210605184. Its totient is φ = 25165680.

The previous prime is 90087433. The next prime is 90087443. The reversal of 90087438 is 83478009.

It is an interprime number because it is at equal distance from previous prime (90087433) and next prime (90087443).

It is a junction number, because it is equal to n+sod(n) for n = 90087396 and 90087405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90087433) 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, 92293 + ... + 93263.

It is an arithmetic number, because the mean of its divisors is an integer number (4387608).

Almost surely, 290087438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90087438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105302592).

90087438 is an abundant number, since it is smaller than the sum of its proper divisors (120517746).

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

90087438 is a wasteful number, since it uses less digits than its factorization.

90087438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 90087438 is about 9491.4402489822. The cubic root of 90087438 is about 448.2855554853.

It can be divided in two parts, 90087 and 438, that added together give a triangular number (90525 = T425).

The spelling of 90087438 in words is "ninety million, eighty-seven thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 971 987 1942 1974 2209 2913 4418 5826 6627 6797 13254 13594 15463 20391 30926 40782 45637 46389 91274 92778 136911 273822 319459 638918 958377 1916754 2144939 4289878 6434817 12869634 15014573 30029146 45043719 90087438