[go: up one dir, main page]

Search a number
-
+
89989776 = 243219311061
BaseRepresentation
bin1010101110100…
…10001010010000
320021022221202200
411113102022100
5141014133101
612532443200
72141620602
oct527221220
9207287680
1089989776
1146884718
1226179500
131584a3b6
14bd47172
157d78986
hex55d2290

89989776 has 120 divisors (see below), whose sum is σ = 273911040. Its totient is φ = 27475200.

The previous prime is 89989763. The next prime is 89989799. The reversal of 89989776 is 67798998.

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 23 ways as a sum of consecutive naturals, for example, 84286 + ... + 85346.

It is an arithmetic number, because the mean of its divisors is an integer number (2282592).

Almost surely, 289989776 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 89989776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136955520).

89989776 is an abundant number, since it is smaller than the sum of its proper divisors (183921264).

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

89989776 is a wasteful number, since it uses less digits than its factorization.

89989776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1116 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The square root of 89989776 is about 9486.2941130876. The cubic root of 89989776 is about 448.1235044271.

The spelling of 89989776 in words is "eighty-nine million, nine hundred eighty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1061 1116 1178 1368 1488 1767 2122 2232 2356 2736 3183 3534 4244 4464 4712 5301 6366 7068 8488 9424 9549 10602 12732 14136 16976 19098 20159 21204 25464 28272 32891 38196 40318 42408 50928 60477 65782 76392 80636 84816 98673 120954 131564 152784 161272 181431 197346 241908 263128 296019 322544 362862 394692 483816 526256 592038 624929 725724 789384 967632 1184076 1249858 1451448 1578768 1874787 2368152 2499716 2902896 3749574 4736304 4999432 5624361 7499148 9998864 11248722 14998296 22497444 29996592 44994888 89989776