Search a number
-
+
90433880 = 2351727823
BaseRepresentation
bin1010110001111…
…10100101011000
320022011111221222
411120332211120
5141122341010
612550151212
72145450425
oct530764530
9208144858
1090433880
1147058349
1226352508
1315974594
14c020d4c
157e15355
hex563e958

90433880 has 48 divisors (see below), whose sum is σ = 216177120. Its totient is φ = 34041344.

The previous prime is 90433877. The next prime is 90433891. The reversal of 90433880 is 8833409.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90433880.

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, 7649 + ... + 15471.

It is an arithmetic number, because the mean of its divisors is an integer number (4503690).

Almost surely, 290433880 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 90433880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108088560).

90433880 is an abundant number, since it is smaller than the sum of its proper divisors (125743240).

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

90433880 is a wasteful number, since it uses less digits than its factorization.

90433880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7868 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 90433880 is about 9509.6729701920. The cubic root of 90433880 is about 448.8594656436.

The spelling of 90433880 in words is "ninety million, four hundred thirty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 7823 11560 15646 31292 39115 62584 78230 132991 156460 265982 312920 531964 664955 1063928 1329910 2260847 2659820 4521694 5319640 9043388 11304235 18086776 22608470 45216940 90433880