Search a number
-
+
89712018 = 232114143257
BaseRepresentation
bin1010101100011…
…10010110010010
320020210211202100
411112032112102
5140431241033
612522501230
72136353034
oct526162622
9206724670
1089712018
1146704a70
1226064816
1315780b46
14bcb3c54
157d21513
hex558e592

89712018 has 96 divisors (see below), whose sum is σ = 223134912. Its totient is φ = 25804800.

The previous prime is 89712017. The next prime is 89712019. The reversal of 89712018 is 81021798.

It is an interprime number because it is at equal distance from previous prime (89712017) and next prime (89712019).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (89712017) 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 47 ways as a sum of consecutive naturals, for example, 348946 + ... + 349202.

It is an arithmetic number, because the mean of its divisors is an integer number (2324322).

Almost surely, 289712018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89712018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111567456).

89712018 is an abundant number, since it is smaller than the sum of its proper divisors (133422894).

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

89712018 is a wasteful number, since it uses less digits than its factorization.

89712018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 89712018 is about 9471.6428353269. The cubic root of 89712018 is about 447.6619772967.

The spelling of 89712018 in words is "eighty-nine million, seven hundred twelve thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 43 66 82 86 99 123 129 198 246 257 258 369 387 451 473 514 738 771 774 902 946 1353 1419 1542 1763 2313 2706 2827 2838 3526 4059 4257 4626 5289 5654 8118 8481 8514 10537 10578 11051 15867 16962 19393 21074 22102 25443 31611 31734 33153 38786 50886 58179 63222 66306 94833 99459 115907 116358 121561 174537 189666 198918 231814 243122 347721 349074 364683 453091 695442 729366 906182 1043163 1094049 1359273 2086326 2188098 2718546 4077819 4984001 8155638 9968002 14952003 29904006 44856009 89712018