Search a number
-
+
75056224 = 2517281491
BaseRepresentation
bin1000111100101…
…00010001100000
312020020020210011
410132110101200
5123203244344
611240414304
71600652545
oct436242140
9166206704
1075056224
1139404941
1221177394
131271c089
149d7abcc
1568c8d34
hex4794460

75056224 has 48 divisors (see below), whose sum is σ = 157335696. Its totient is φ = 35123200.

The previous prime is 75056167. The next prime is 75056243. The reversal of 75056224 is 42265057.

It is a super-2 number, since 2×750562242 = 11266873522276352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152619 + ... + 153109.

It is an arithmetic number, because the mean of its divisors is an integer number (3277827).

Almost surely, 275056224 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 75056224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78667848).

75056224 is an abundant number, since it is smaller than the sum of its proper divisors (82279472).

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

75056224 is a wasteful number, since it uses less digits than its factorization.

75056224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 75056224 is about 8663.4995238645. The cubic root of 75056224 is about 421.8216866804.

The spelling of 75056224 in words is "seventy-five million, fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 281 491 544 562 982 1124 1964 2248 3928 4496 4777 7856 8347 8992 9554 15712 16694 19108 33388 38216 66776 76432 133552 137971 152864 267104 275942 551884 1103768 2207536 2345507 4415072 4691014 9382028 18764056 37528112 75056224