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75701268 = 223213715349
BaseRepresentation
bin1001000001100…
…01110000010100
312021110000121200
410200301300110
5123334420033
611302312500
71606310256
oct440616024
9167400550
1075701268
1139805535
1221428730
13128b6866
14a0a7cd6
1569a5013
hex4831c14

75701268 has 36 divisors (see below), whose sum is σ = 192765300. Its totient is φ = 25047936.

The previous prime is 75701261. The next prime is 75701279. The reversal of 75701268 is 86210757.

It can be written as a sum of positive squares in 2 ways, for example, as 34715664 + 40985604 = 5892^2 + 6402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75701261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2743 + ... + 12606.

Almost surely, 275701268 is an apocalyptic number.

It is an amenable number.

75701268 is an abundant number, since it is smaller than the sum of its proper divisors (117064032).

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

75701268 is a wasteful number, since it uses less digits than its factorization.

75701268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15496 (or 15491 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 75701268 is about 8700.6475621071. The cubic root of 75701268 is about 423.0266401745.

The spelling of 75701268 in words is "seventy-five million, seven hundred one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 15349 30698 46047 61396 92094 138141 184188 276282 552564 2102813 4205626 6308439 8411252 12616878 18925317 25233756 37850634 75701268