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89048904 = 23375373137
BaseRepresentation
bin1010100111011…
…00011101001000
320012120011010120
411103230131020
5140244031104
612500343240
72130621540
oct523543510
9205504116
1089048904
11462a183a
12259a4b20
13155ab079
14bb80320
157c3ecd9
hex54ec748

89048904 has 128 divisors (see below), whose sum is σ = 264695040. Its totient is φ = 24440832.

The previous prime is 89048903. The next prime is 89048933. The reversal of 89048904 is 40984098.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (89048903) 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 31 ways as a sum of consecutive naturals, for example, 649924 + ... + 650060.

It is an arithmetic number, because the mean of its divisors is an integer number (2067930).

Almost surely, 289048904 is an apocalyptic number.

89048904 is a gapful number since it is divisible by the number (84) 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 89048904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132347520).

89048904 is an abundant number, since it is smaller than the sum of its proper divisors (175646136).

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

89048904 is a wasteful number, since it uses less digits than its factorization.

89048904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 89048904 is about 9436.5726829183. The cubic root of 89048904 is about 446.5562713241.

89048904 divided by its sum of digits (42) gives a palindrome (2120212).

It can be divided in two parts, 890 and 48904, that added together give a palindrome (49794).

The spelling of 89048904 in words is "eighty-nine million, forty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 73 84 106 137 146 159 168 212 219 274 292 318 371 411 424 438 511 548 584 636 742 822 876 959 1022 1096 1113 1272 1484 1533 1644 1752 1918 2044 2226 2877 2968 3066 3288 3836 3869 4088 4452 5754 6132 7261 7672 7738 8904 10001 11508 11607 12264 14522 15476 20002 21783 23016 23214 27083 29044 30003 30952 40004 43566 46428 50827 54166 58088 60006 70007 80008 81249 87132 92856 101654 108332 120012 140014 152481 162498 174264 203308 210021 216664 240024 280028 304962 324996 406616 420042 530053 560056 609924 649992 840084 1060106 1219848 1590159 1680168 2120212 3180318 3710371 4240424 6360636 7420742 11131113 12721272 14841484 22262226 29682968 44524452 89048904