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75324042 = 23217713467
BaseRepresentation
bin1000111110101…
…01101010001010
312020201212011100
410133111222022
5123240332132
611250242230
71603146423
oct437255212
9166655140
1075324042
1139578082
1221286376
13127b3c51
14a00a64a
15692d37c
hex47d5a8a

75324042 has 48 divisors (see below), whose sum is σ = 175286592. Its totient is φ = 23291520.

The previous prime is 75324023. The next prime is 75324121. The reversal of 75324042 is 24042357.

It is a super-2 number, since 2×753240422 = 11347422606435528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75323997 and 75324015.

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, 19993 + ... + 23459.

It is an arithmetic number, because the mean of its divisors is an integer number (3651804).

Almost surely, 275324042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75324042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87643296).

75324042 is an abundant number, since it is smaller than the sum of its proper divisors (99962550).

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

75324042 is a wasteful number, since it uses less digits than its factorization.

75324042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 75324042 is about 8678.9424470957. The cubic root of 75324042 is about 422.3228102861.

Adding to 75324042 its reverse (24042357), we get a palindrome (99366399).

The spelling of 75324042 in words is "seventy-five million, three hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 306 426 639 1207 1278 2414 3467 3621 6934 7242 10401 10863 20802 21726 31203 58939 62406 117878 176817 246157 353634 492314 530451 738471 1060902 1476942 2215413 4184669 4430826 8369338 12554007 25108014 37662021 75324042