Search a number
-
+
89559040 = 21254373
BaseRepresentation
bin1010101011010…
…01000000000000
320020112001220111
411111221000000
5140411342130
612515321104
72135145034
oct525510000
9206461814
1089559040
114661003a
1225bb0194
131572931c
14bc741c4
157ce102a
hex5569000

89559040 has 52 divisors (see below), whose sum is σ = 214964604. Its totient is φ = 35815424.

The previous prime is 89559037. The next prime is 89559049. The reversal of 89559040 is 4095598.

It can be written as a sum of positive squares in 2 ways, for example, as 41783296 + 47775744 = 6464^2 + 6912^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 89558984 and 89559002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89559049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18294 + ... + 22666.

Almost surely, 289559040 is an apocalyptic number.

89559040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107482302).

89559040 is an abundant number, since it is smaller than the sum of its proper divisors (125405564).

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

89559040 is an equidigital number, since it uses as much as digits as its factorization.

89559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 89559040 is about 9463.5638107428. The cubic root of 89559040 is about 447.4073796850.

The spelling of 89559040 in words is "eighty-nine million, five hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 4373 5120 8746 10240 17492 20480 21865 34984 43730 69968 87460 139936 174920 279872 349840 559744 699680 1119488 1399360 2238976 2798720 4477952 5597440 8955904 11194880 17911808 22389760 44779520 89559040