Search a number
-
+
89239104 = 2633431201
BaseRepresentation
bin1010101000110…
…10111001000000
320012220211001000
411110122321000
5140321122404
612504412000
72132343213
oct524327100
9205824030
1089239104
1146411729
1225a77000
1315646806
14bbcd77a
157c7b339
hex551ae40

89239104 has 112 divisors (see below), whose sum is σ = 268671040. Its totient is φ = 29030400.

The previous prime is 89239099. The next prime is 89239141. The reversal of 89239104 is 40193298.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73704 + ... + 74904.

Almost surely, 289239104 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 89239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134335520).

89239104 is an abundant number, since it is smaller than the sum of its proper divisors (179431936).

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

89239104 is a wasteful number, since it uses less digits than its factorization.

89239104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 89239104 is about 9446.6451187710. The cubic root of 89239104 is about 446.8739791588.

The spelling of 89239104 in words is "eighty-nine million, two hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 774 864 1032 1161 1201 1376 1548 1728 2064 2322 2402 2752 3096 3603 4128 4644 4804 6192 7206 8256 9288 9608 10809 12384 14412 18576 19216 21618 24768 28824 32427 37152 38432 43236 51643 57648 64854 74304 76864 86472 103286 115296 129708 154929 172944 206572 230592 259416 309858 345888 413144 464787 518832 619716 691776 826288 929574 1037664 1239432 1394361 1652576 1859148 2075328 2478864 2788722 3305152 3718296 4957728 5577444 7436592 9915456 11154888 14873184 22309776 29746368 44619552 89239104