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89254386 = 2361317277
BaseRepresentation
bin1010101000111…
…10100111110010
320012221121000000
411110132213302
5140322120021
612505010430
72132435604
oct524364762
9205847000
1089254386
1146422161
1225a83a16
1315650760
14bbd5174
157c80b26
hex551e9f2

89254386 has 112 divisors (see below), whose sum is σ = 229713624. Its totient is φ = 25754112.

The previous prime is 89254367. The next prime is 89254391. The reversal of 89254386 is 68345298.

It can be written as a sum of positive squares in 4 ways, for example, as 59213025 + 30041361 = 7695^2 + 5481^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 322080 + ... + 322356.

Almost surely, 289254386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89254386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114856812).

89254386 is an abundant number, since it is smaller than the sum of its proper divisors (140459238).

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

89254386 is a wasteful number, since it uses less digits than its factorization.

89254386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 312 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 89254386 is about 9447.4539427298. The cubic root of 89254386 is about 446.8994864311.

It can be divided in two parts, 892 and 54386, that added together give a triangular number (55278 = T332).

The spelling of 89254386 in words is "eighty-nine million, two hundred fifty-four thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 243 277 306 351 442 459 486 554 663 702 729 831 918 1053 1326 1377 1458 1662 1989 2106 2493 2754 3159 3601 3978 4131 4709 4986 5967 6318 7202 7479 8262 9418 9477 10803 11934 12393 14127 14958 17901 18954 21606 22437 24786 28254 32409 35802 42381 44874 53703 61217 64818 67311 84762 97227 107406 122434 127143 134622 161109 183651 194454 201933 254286 291681 322218 367302 381429 403866 550953 583362 762858 875043 1101906 1144287 1652859 1750086 2288574 2625129 3305718 3432861 4958577 5250258 6865722 9917154 14875731 29751462 44627193 89254386