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75414944 = 2511219477
BaseRepresentation
bin1000111111010…
…11110110100000
312020220110212002
410133223312200
5123301234234
611252223132
71604005433
oct437536640
9166813762
1075414944
113962a400
122130aaa8
1312816437
14a03181a
15694a27e
hex47ebda0

75414944 has 36 divisors (see below), whose sum is σ = 163206162. Its totient is φ = 34277760.

The previous prime is 75414929. The next prime is 75414947. The reversal of 75414944 is 44941457.

It can be written as a sum of positive squares in only one way, i.e., 57942544 + 17472400 = 7612^2 + 4180^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75414898 and 75414907.

It is not an unprimeable number, because it can be changed into a prime (75414947) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5867 + ... + 13610.

Almost surely, 275414944 is an apocalyptic number.

It is an amenable number.

75414944 is an abundant number, since it is smaller than the sum of its proper divisors (87791218).

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

75414944 is a wasteful number, since it uses less digits than its factorization.

75414944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19509 (or 19490 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 75414944 is about 8684.1777964296. The cubic root of 75414944 is about 422.4926301482.

The spelling of 75414944 in words is "seventy-five million, four hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 19477 38954 77908 155816 214247 311632 428494 623264 856988 1713976 2356717 3427952 4713434 6855904 9426868 18853736 37707472 75414944