Search a number
-
+
93089800 = 2352676947
BaseRepresentation
bin1011000110001…
…11000000001000
320111011110012101
411203013000020
5142312333200
613123123144
72210151556
oct543070010
9214143171
1093089800
1148601821
12272134b4
131639442b
14c512bd6
15828c26a
hex58c7008

93089800 has 48 divisors (see below), whose sum is σ = 219695760. Its totient is φ = 36674880.

The previous prime is 93089767. The next prime is 93089813. The reversal of 93089800 is 898039.

It is a self number, because there is not a number n which added to its sum of digits gives 93089800.

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, 9927 + ... + 16873.

It is an arithmetic number, because the mean of its divisors is an integer number (4576995).

Almost surely, 293089800 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 93089800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109847880).

93089800 is an abundant number, since it is smaller than the sum of its proper divisors (126605960).

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

93089800 is a wasteful number, since it uses less digits than its factorization.

93089800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 93089800 is about 9648.3055507172. The cubic root of 93089800 is about 453.2112680774.

The spelling of 93089800 in words is "ninety-three million, eighty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 6700 6947 13400 13894 27788 34735 55576 69470 138940 173675 277880 347350 465449 694700 930898 1389400 1861796 2327245 3723592 4654490 9308980 11636225 18617960 23272450 46544900 93089800