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75052296 = 233211193491
BaseRepresentation
bin1000111100100…
…11010100001000
312020020001101200
410132103110020
5123203133141
611240344200
71600635234
oct436232410
9166201350
1075052296
11394019a0
1221175060
131271a357
149d795c4
1568c7ab6
hex4793508

75052296 has 96 divisors (see below), whose sum is σ = 223348320. Its totient is φ = 22579200.

The previous prime is 75052273. The next prime is 75052303. The reversal of 75052296 is 69225057.

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

It is a self number, because there is not a number n which added to its sum of digits gives 75052296.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 152611 + ... + 153101.

It is an arithmetic number, because the mean of its divisors is an integer number (2326545).

Almost surely, 275052296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75052296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111674160).

75052296 is an abundant number, since it is smaller than the sum of its proper divisors (148296024).

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

75052296 is a wasteful number, since it uses less digits than its factorization.

75052296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 75052296 is about 8663.2728226693. The cubic root of 75052296 is about 421.8143279991.

It can be divided in two parts, 7505 and 2296, that added together give a square (9801 = 992).

The spelling of 75052296 in words is "seventy-five million, fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 193 198 264 386 396 491 579 772 792 982 1158 1473 1544 1737 1964 2123 2316 2946 3474 3928 4246 4419 4632 5401 5892 6369 6948 8492 8838 10802 11784 12738 13896 16203 16984 17676 19107 21604 25476 32406 35352 38214 43208 48609 50952 64812 76428 94763 97218 129624 152856 189526 194436 284289 379052 388872 568578 758104 852867 1042393 1137156 1705734 2084786 2274312 3127179 3411468 4169572 6254358 6822936 8339144 9381537 12508716 18763074 25017432 37526148 75052296