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89434944 = 2632155269
BaseRepresentation
bin1010101010010…
…10101101000000
320020021202200100
411111022231000
5140343404234
612512522400
72134120164
oct525125500
9206252610
1089434944
1146535885
1225b50400
13156b49b1
14bc40ca4
157cb9399
hex554ab40

89434944 has 42 divisors (see below), whose sum is σ = 256350770. Its totient is φ = 29811456.

The previous prime is 89434921. The next prime is 89434949. The reversal of 89434944 is 44943498.

It can be written as a sum of positive squares in only one way, i.e., 47444544 + 41990400 = 6888^2 + 6480^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 89434944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89434949) 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, 77059 + ... + 78210.

Almost surely, 289434944 is an apocalyptic number.

It is an amenable number.

89434944 is an abundant number, since it is smaller than the sum of its proper divisors (166915826).

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

89434944 is a wasteful number, since it uses less digits than its factorization.

89434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155287 (or 155274 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 89434944 is about 9457.0050227331. The cubic root of 89434944 is about 447.2006366245.

It can be divided in two parts, 8943494 and 4, that added together give a palindrome (8943498).

The spelling of 89434944 in words is "eighty-nine million, four hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 155269 310538 465807 621076 931614 1242152 1397421 1863228 2484304 2794842 3726456 4968608 5589684 7452912 9937216 11179368 14905824 22358736 29811648 44717472 89434944