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89249040 = 243554591
BaseRepresentation
bin1010101000111…
…01010100010000
320012221022200000
411110131110100
5140321432130
612504530000
72132414166
oct524352420
9205838600
1089249040
1146419141
1225a80900
131564b1aa
14bbd3236
157c7e260
hex551d510

89249040 has 120 divisors (see below), whose sum is σ = 310896768. Its totient is φ = 23794560.

The previous prime is 89249033. The next prime is 89249047. The reversal of 89249040 is 4094298.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89249033) and next prime (89249047).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×892490402 = 15930782281843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 89248986 and 89249004.

It is not an unprimeable number, because it can be changed into a prime (89249047) 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 23 ways as a sum of consecutive naturals, for example, 17145 + ... + 21735.

Almost surely, 289249040 is an apocalyptic number.

89249040 is a gapful number since it is divisible by the number (80) 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 89249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155448384).

89249040 is an abundant number, since it is smaller than the sum of its proper divisors (221647728).

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

89249040 is a wasteful number, since it uses less digits than its factorization.

89249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89249040 is about 9447.1710051211. The cubic root of 89249040 is about 446.8905637235.

The spelling of 89249040 in words is "eighty-nine million, two hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4591 4860 6480 9182 9720 13773 18364 19440 22955 27546 36728 41319 45910 55092 68865 73456 82638 91820 110184 123957 137730 165276 183640 206595 220368 247914 275460 330552 367280 371871 413190 495828 550920 619785 661104 743742 826380 991656 1101840 1115613 1239570 1487484 1652760 1859355 1983312 2231226 2479140 2974968 3305520 3718710 4462452 4958280 5578065 5949936 7437420 8924904 9916560 11156130 14874840 17849808 22312260 29749680 44624520 89249040