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89056368 = 2433238963
BaseRepresentation
bin1010100111011…
…10010001110000
320012120112101000
411103232101300
5140244300433
612500442000
72130652362
oct523562160
9205515330
1089056368
11462a7405
12259a9300
13155b159b
14bb82d32
157c42113
hex54ee470

89056368 has 80 divisors (see below), whose sum is σ = 266768640. Its totient is φ = 28391616.

The previous prime is 89056367. The next prime is 89056369. The reversal of 89056368 is 86365098.

89056368 is a `hidden beast` number, since 8 + 9 + 0 + 5 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (89056367) and next prime (89056369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89056367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5455 + ... + 14417.

It is an arithmetic number, because the mean of its divisors is an integer number (3334608).

Almost surely, 289056368 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 89056368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133384320).

89056368 is an abundant number, since it is smaller than the sum of its proper divisors (177712272).

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

89056368 is a wasteful number, since it uses less digits than its factorization.

89056368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 89056368 is about 9436.9681571996. The cubic root of 89056368 is about 446.5687476255.

The spelling of 89056368 in words is "eighty-nine million, fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 8963 9936 17926 26889 35852 53778 71704 80667 107556 143408 161334 206149 215112 242001 322668 412298 430224 484002 618447 645336 824596 968004 1236894 1290672 1649192 1855341 1936008 2473788 3298384 3710682 3872016 4947576 5566023 7421364 9895152 11132046 14842728 22264092 29685456 44528184 89056368