Search a number
-
+
90071838 = 235375009
BaseRepresentation
bin1010101111001…
…10001100011110
320021111010100000
411113212030132
5141024244323
612534315130
72142412053
oct527461436
9207433300
1090071838
114693033a
12261b8aa6
131587885c
14bd6902a
157d92e43
hex55e631e

90071838 has 48 divisors (see below), whose sum is σ = 207894960. Its totient is φ = 29206656.

The previous prime is 90071789. The next prime is 90071843. The reversal of 90071838 is 83817009.

It is a super-2 number, since 2×900718382 = 16225872001396488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15478 + ... + 20486.

It is an arithmetic number, because the mean of its divisors is an integer number (4331145).

Almost surely, 290071838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90071838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103947480).

90071838 is an abundant number, since it is smaller than the sum of its proper divisors (117823122).

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

90071838 is a wasteful number, since it uses less digits than its factorization.

90071838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 90071838 is about 9490.6184203138. The cubic root of 90071838 is about 448.2596781875.

It can be divided in two parts, 90071 and 838, that added together give a palindrome (90909).

The spelling of 90071838 in words is "ninety million, seventy-one thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 999 1998 2997 5009 5994 8991 10018 15027 17982 30054 45081 90162 135243 185333 270486 370666 405729 555999 811458 1111998 1217187 1667997 2434374 3335994 5003991 10007982 15011973 30023946 45035919 90071838