Search a number
-
+
94918144 = 29892083
BaseRepresentation
bin1011010100001…
…01011000000000
320121121100012211
411222011120000
5143244340034
613230231504
72231535166
oct552053000
9217540184
1094918144
1149640452
1227955594
13168846a9
14c86b236
1584edd64
hex5a85600

94918144 has 40 divisors (see below), whose sum is σ = 191873880. Its totient is φ = 46903296.

The previous prime is 94918127. The next prime is 94918169. The reversal of 94918144 is 44181949.

It is a junction number, because it is equal to n+sod(n) for n = 94918097 and 94918106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44527 + ... + 46609.

It is an arithmetic number, because the mean of its divisors is an integer number (4796847).

Almost surely, 294918144 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 94918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95936940).

94918144 is an abundant number, since it is smaller than the sum of its proper divisors (96955736).

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

94918144 is an equidigital number, since it uses as much as digits as its factorization.

94918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2174 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 94918144 is about 9742.5943156841. The cubic root of 94918144 is about 456.1591729127.

The spelling of 94918144 in words is "ninety-four million, nine hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1424 2083 2848 4166 5696 8332 11392 16664 22784 33328 45568 66656 133312 185387 266624 370774 533248 741548 1066496 1483096 2966192 5932384 11864768 23729536 47459072 94918144