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89086976 = 210112719
BaseRepresentation
bin1010100111101…
…01110000000000
320012122002100122
411103311300000
5140301240401
612501235412
72131140536
oct523656000
9205562318
1089086976
1146318400
1225a02b68
13155c24b4
14bb90156
157c4b21b
hex54f5c00

89086976 has 66 divisors (see below), whose sum is σ = 196020720. Its totient is φ = 40437760.

The previous prime is 89086931. The next prime is 89086979. The reversal of 89086976 is 67968098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89086979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123545 + ... + 124263.

Almost surely, 289086976 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 89086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98010360).

89086976 is an abundant number, since it is smaller than the sum of its proper divisors (106933744).

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

89086976 is a wasteful number, since it uses less digits than its factorization.

89086976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The square root of 89086976 is about 9438.5897251655. The cubic root of 89086976 is about 446.6199025322.

The spelling of 89086976 in words is "eighty-nine million, eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 719 968 1024 1408 1438 1936 2816 2876 3872 5632 5752 7744 7909 11264 11504 15488 15818 23008 30976 31636 46016 61952 63272 86999 92032 123904 126544 173998 184064 253088 347996 368128 506176 695992 736256 1012352 1391984 2024704 2783968 4049408 5567936 8098816 11135872 22271744 44543488 89086976