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94534144 = 291710861
BaseRepresentation
bin1011010001001…
…11101000000000
320120212211110121
411220213220000
5143200043034
613214110024
72225345515
oct550475000
9216784417
1094534144
11493a89a1
12277ab314
131677b983
14c7ab30c
1584751b4
hex5a27a00

94534144 has 40 divisors (see below), whose sum is σ = 200012868. Its totient is φ = 44482560.

The previous prime is 94534129. The next prime is 94534147. The reversal of 94534144 is 44143549.

It can be written as a sum of positive squares in 2 ways, for example, as 93702400 + 831744 = 9680^2 + 912^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (94534147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3274 + ... + 14134.

Almost surely, 294534144 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 94534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100006434).

94534144 is an abundant number, since it is smaller than the sum of its proper divisors (105478724).

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

94534144 is a wasteful number, since it uses less digits than its factorization.

94534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10896 (or 10880 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 94534144 is about 9722.8670668687. The cubic root of 94534144 is about 455.5431970032.

The spelling of 94534144 in words is "ninety-four million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 10861 21722 43444 86888 173776 184637 347552 369274 695104 738548 1390208 1477096 2780416 2954192 5560832 5908384 11816768 23633536 47267072 94534144