Search a number
-
+
75728226 = 2373311187
BaseRepresentation
bin1001000001110…
…00010101100010
312021111101121010
410200320111202
5123341300401
611303041350
71606452000
oct440702542
9167441533
1075728226
1139823812
1221440256
13128c5c02
14a0b3a70
1569aced6
hex4838562

75728226 has 64 divisors (see below), whose sum is σ = 182476800. Its totient is φ = 20921040.

The previous prime is 75728221. The next prime is 75728249. The reversal of 75728226 is 62282757.

It is not an unprimeable number, because it can be changed into a prime (75728221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63205 + ... + 64391.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 275728226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75728226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91238400).

75728226 is an abundant number, since it is smaller than the sum of its proper divisors (106748574).

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

75728226 is a wasteful number, since it uses less digits than its factorization.

75728226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1230 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 75728226 is about 8702.1966192451. The cubic root of 75728226 is about 423.0768489273.

The spelling of 75728226 in words is "seventy-five million, seven hundred twenty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 343 434 651 686 1029 1187 1302 1519 2058 2374 3038 3561 4557 7122 8309 9114 10633 16618 21266 24927 31899 36797 49854 58163 63798 73594 110391 116326 174489 220782 257579 348978 407141 515158 772737 814282 1221423 1545474 1803053 2442846 3606106 5409159 10818318 12621371 25242742 37864113 75728226