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89430504 = 23353167421
BaseRepresentation
bin1010101010010…
…01100111101000
320020021112120220
411111021213220
5140343234004
612512450040
72134101222
oct525114750
9206245526
1089430504
1146532509
1225b49920
13156b2977
14bc3d412
157cb7dd9
hex55499e8

89430504 has 64 divisors (see below), whose sum is σ = 229703040. Its totient is φ = 29003520.

The previous prime is 89430499. The next prime is 89430527. The reversal of 89430504 is 40503498.

It is an unprimeable number.

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, 212214 + ... + 212634.

It is an arithmetic number, because the mean of its divisors is an integer number (3589110).

Almost surely, 289430504 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 89430504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114851520).

89430504 is an abundant number, since it is smaller than the sum of its proper divisors (140272536).

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

89430504 is a wasteful number, since it uses less digits than its factorization.

89430504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 89430504 is about 9456.7702731958. The cubic root of 89430504 is about 447.1932360731.

The spelling of 89430504 in words is "eighty-nine million, four hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 167 212 318 334 421 424 501 636 668 842 1002 1263 1272 1336 1684 2004 2526 3368 4008 5052 8851 10104 17702 22313 26553 35404 44626 53106 66939 70307 70808 89252 106212 133878 140614 178504 210921 212424 267756 281228 421842 535512 562456 843684 1687368 3726271 7452542 11178813 14905084 22357626 29810168 44715252 89430504