Search a number
-
+
75139638 = 2373291259
BaseRepresentation
bin1000111101010…
…00101000110110
312020101111012120
410132220220312
5123213432023
611242300410
71601451000
oct436505066
9166344176
1075139638
1139461582
12211b7706
131274b032
149d9d370
1568e38e3
hex47a8a36

75139638 has 64 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 20711712.

The previous prime is 75139607. The next prime is 75139639. The reversal of 75139638 is 83693157.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 75139638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75139639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59053 + ... + 60311.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 275139638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75139638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

75139638 is an abundant number, since it is smaller than the sum of its proper divisors (106300362).

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

75139638 is a wasteful number, since it uses less digits than its factorization.

75139638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1300 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 75139638 is about 8668.3122924823. The cubic root of 75139638 is about 421.9778931690.

The spelling of 75139638 in words is "seventy-five million, one hundred thirty-nine thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 343 406 609 686 1029 1218 1259 1421 2058 2518 2842 3777 4263 7554 8526 8813 9947 17626 19894 26439 29841 36511 52878 59682 61691 73022 109533 123382 185073 219066 255577 370146 431837 511154 766731 863674 1295511 1533462 1789039 2591022 3578078 5367117 10734234 12523273 25046546 37569819 75139638