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88324384 = 2517229709
BaseRepresentation
bin1010100001110…
…11100100100000
320011012100021111
411100323210200
5140102340014
612433033104
72121513331
oct520734440
9204170244
1088324384
1145947465
12256b5794
13153b6365
14ba32288
157b4a2c4
hex543b920

88324384 has 48 divisors (see below), whose sum is σ = 185182200. Its totient is φ = 41324544.

The previous prime is 88324361. The next prime is 88324391. The reversal of 88324384 is 48342388.

It can be written as a sum of positive squares in 4 ways, for example, as 85155984 + 3168400 = 9228^2 + 1780^2 .

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 7 ways as a sum of consecutive naturals, for example, 124222 + ... + 124930.

Almost surely, 288324384 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 88324384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92591100).

88324384 is an abundant number, since it is smaller than the sum of its proper divisors (96857816).

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

88324384 is a wasteful number, since it uses less digits than its factorization.

88324384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 88324384 is about 9398.1053409717. The cubic root of 88324384 is about 445.3418809440.

The spelling of 88324384 in words is "eighty-eight million, three hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 229 272 458 544 709 916 1418 1832 2836 3664 3893 5672 7328 7786 11344 12053 15572 22688 24106 31144 48212 62288 96424 124576 162361 192848 324722 385696 649444 1298888 2597776 2760137 5195552 5520274 11040548 22081096 44162192 88324384