Search a number
-
+
89708112 = 243213173277
BaseRepresentation
bin1010101100011…
…01011001010000
320020210122101200
411112031121100
5140431124422
612522431200
72136335454
oct526153120
9206718350
1089708112
114670203a
1226062500
131577c130
14bcb2664
157d202ac
hex558d650

89708112 has 120 divisors (see below), whose sum is σ = 272914824. Its totient is φ = 27343872.

The previous prime is 89708089. The next prime is 89708131. The reversal of 89708112 is 21180798.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 83832336 = 2424^2 + 9156^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323718 + ... + 323994.

Almost surely, 289708112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89708112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136457412).

89708112 is an abundant number, since it is smaller than the sum of its proper divisors (183206712).

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

89708112 is a wasteful number, since it uses less digits than its factorization.

89708112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

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

The square root of 89708112 is about 9471.4366386520. The cubic root of 89708112 is about 447.6554802368.

The spelling of 89708112 in words is "eighty-nine million, seven hundred eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 173 208 234 277 312 346 468 519 554 624 692 831 936 1038 1108 1384 1557 1662 1872 2076 2216 2249 2493 2768 3114 3324 3601 4152 4432 4498 4986 6228 6648 6747 7202 8304 8996 9972 10803 12456 13296 13494 14404 17992 19944 20241 21606 24912 26988 28808 32409 35984 39888 40482 43212 47921 53976 57616 64818 80964 86424 95842 107952 129636 143763 161928 172848 191684 259272 287526 323856 383368 431289 518544 575052 622973 766736 862578 1150104 1245946 1725156 1868919 2300208 2491892 3450312 3737838 4983784 5606757 6900624 7475676 9967568 11213514 14951352 22427028 29902704 44854056 89708112