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85404450 = 23524313241
BaseRepresentation
bin1010001011100…
…10101100100010
312221200222212210
411011302230202
5133330420300
612250302550
72054632365
oct505625442
9187628783
1085404450
114423269a
1224727a56
13149032a1
14b4b20dc
157770050
hex5172b22

85404450 has 48 divisors (see below), whose sum is σ = 216745056. Its totient is φ = 22243200.

The previous prime is 85404419. The next prime is 85404461. The reversal of 85404450 is 5440458.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171 + ... + 13070.

It is an arithmetic number, because the mean of its divisors is an integer number (4515522).

Almost surely, 285404450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85404450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108372528).

85404450 is an abundant number, since it is smaller than the sum of its proper divisors (131340606).

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

85404450 is a wasteful number, since it uses less digits than its factorization.

85404450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13299 (or 13294 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 85404450 is about 9241.4528078652. The cubic root of 85404450 is about 440.3792357153.

The spelling of 85404450 in words is "eighty-five million, four hundred four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 1075 1290 2150 3225 6450 13241 26482 39723 66205 79446 132410 198615 331025 397230 569363 662050 993075 1138726 1708089 1986150 2846815 3416178 5693630 8540445 14234075 17080890 28468150 42702225 85404450