Search a number
-
+
75714044 = 22741101653
BaseRepresentation
bin1001000001101…
…00110111111100
312021110200010212
410200310313330
5123340322134
611302451552
71606362440
oct440646774
9167420125
1075714044
113981409a
1221433bb8
13128bc613
14a0ac820
1569a8bce
hex4834dfc

75714044 has 48 divisors (see below), whose sum is σ = 156897216. Its totient is φ = 31296000.

The previous prime is 75714043. The next prime is 75714047. The reversal of 75714044 is 44041757.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75714044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75714043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115622 + ... + 116274.

It is an arithmetic number, because the mean of its divisors is an integer number (3268692).

Almost surely, 275714044 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 75714044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78448608).

75714044 is an abundant number, since it is smaller than the sum of its proper divisors (81183172).

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

75714044 is a wasteful number, since it uses less digits than its factorization.

75714044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 75714044 is about 8701.3817293577. The cubic root of 75714044 is about 423.0504367127.

The spelling of 75714044 in words is "seventy-five million, seven hundred fourteen thousand, forty-four".

Divisors: 1 2 4 7 14 28 41 82 101 164 202 287 404 574 653 707 1148 1306 1414 2612 2828 4141 4571 8282 9142 16564 18284 26773 28987 53546 57974 65953 107092 115948 131906 187411 263812 374822 461671 749644 923342 1846684 2704073 5408146 10816292 18928511 37857022 75714044