Search a number
-
+
89407836 = 223273743223
BaseRepresentation
bin1010101010001…
…00000101011100
320020020101111100
411111010011130
5140342022321
612512153100
72133645150
oct525040534
9206211440
1089407836
1146517481
1225b38790
13156a555b
14bc35060
157cb1326
hex554415c

89407836 has 144 divisors (see below), whose sum is σ = 272656384. Its totient is φ = 24167808.

The previous prime is 89407823. The next prime is 89407837. The reversal of 89407836 is 63870498.

It is a happy number.

It is a super-2 number, since 2×894078362 = 15987522276405792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89407791 and 89407800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89407837) 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 47 ways as a sum of consecutive naturals, for example, 400821 + ... + 401043.

Almost surely, 289407836 is an apocalyptic number.

89407836 is a gapful number since it is divisible by the number (86) 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 89407836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136328192).

89407836 is an abundant number, since it is smaller than the sum of its proper divisors (183248548).

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

89407836 is a wasteful number, since it uses less digits than its factorization.

89407836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 89407836 is about 9455.5716908075. The cubic root of 89407836 is about 447.1554494402.

The spelling of 89407836 in words is "eighty-nine million, four hundred seven thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 43 63 74 84 86 111 126 129 148 172 222 223 252 258 259 301 333 387 444 446 516 518 602 666 669 774 777 892 903 1036 1204 1332 1338 1548 1554 1561 1591 1806 2007 2331 2676 2709 3108 3122 3182 3612 4014 4662 4683 4773 5418 6244 6364 8028 8251 9324 9366 9546 9589 10836 11137 14049 14319 16502 18732 19092 19178 22274 24753 28098 28638 28767 33004 33411 38356 44548 49506 56196 57276 57534 57757 66822 67123 74259 86301 99012 100233 115068 115514 133644 134246 148518 172602 173271 200466 201369 231028 268492 297036 345204 346542 354793 400932 402738 519813 604107 693084 709586 805476 1039626 1064379 1208214 1419172 2079252 2128758 2416428 2483551 3193137 4257516 4967102 6386274 7450653 9934204 12772548 14901306 22351959 29802612 44703918 89407836