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90023032 = 23112113823
BaseRepresentation
bin1010101110110…
…10010001111000
320021101122101101
411113122101320
5141021214112
612533301144
72142116551
oct527322170
9207348341
1090023032
11468a7700
12261947b4
131585c588
14bd55328
157d83757
hex55da478

90023032 has 48 divisors (see below), whose sum is σ = 187402320. Its totient is φ = 40508160.

The previous prime is 90022997. The next prime is 90023053. The reversal of 90023032 is 23032009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108973 + ... + 109795.

It is an arithmetic number, because the mean of its divisors is an integer number (3904215).

Almost surely, 290023032 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 90023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93701160).

90023032 is an abundant number, since it is smaller than the sum of its proper divisors (97379288).

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

90023032 is a wasteful number, since it uses less digits than its factorization.

90023032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 90023032 is about 9488.0467958374. The cubic root of 90023032 is about 448.1786994375.

It can be divided in two parts, 900 and 23032, that added together give a palindrome (23932).

The spelling of 90023032 in words is "ninety million, twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 113 121 226 242 452 484 823 904 968 1243 1646 2486 3292 4972 6584 9053 9944 13673 18106 27346 36212 54692 72424 92999 99583 109384 185998 199166 371996 398332 743992 796664 1022989 2045978 4091956 8183912 11252879 22505758 45011516 90023032