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75012642 = 23651449
BaseRepresentation
bin1000111100010…
…01101000100010
312020011001000000
410132021220202
5123200401032
611235440430
71600411515
oct436115042
9166131000
1075012642
1139385121
1221156116
13127052a3
149d68d7c
1568bae7c
hex4789a22

75012642 has 28 divisors (see below), whose sum is σ = 168704550. Its totient is φ = 25003728.

The previous prime is 75012631. The next prime is 75012643. The reversal of 75012642 is 24621057.

75012642 is a `hidden beast` number, since 7 + 5 + 0 + 12 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68707521 + 6305121 = 8289^2 + 2511^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (75012643) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 24267 + ... + 27182.

Almost surely, 275012642 is an apocalyptic number.

75012642 is an abundant number, since it is smaller than the sum of its proper divisors (93691908).

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

75012642 is an equidigital number, since it uses as much as digits as its factorization.

75012642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51469 (or 51454 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75012642 is about 8660.9838932999. The cubic root of 75012642 is about 421.7400261547.

Adding to 75012642 its reverse (24621057), we get a palindrome (99633699).

The spelling of 75012642 in words is "seventy-five million, twelve thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 51449 102898 154347 308694 463041 926082 1389123 2778246 4167369 8334738 12502107 25004214 37506321 75012642