Search a number
-
+
72854112 = 2531744641
BaseRepresentation
bin1000101011110…
…10101001100000
312002002101001110
410111322221200
5122122312422
611121303320
71543151442
oct425725140
9162071043
1072854112
1138140411
1220494b40
131212a956
149966492
1565e160c
hex457aa60

72854112 has 48 divisors (see below), whose sum is σ = 202496112. Its totient is φ = 22855680.

The previous prime is 72854101. The next prime is 72854143. The reversal of 72854112 is 21145827.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72854112.

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, 20689 + ... + 23952.

It is an arithmetic number, because the mean of its divisors is an integer number (4218669).

Almost surely, 272854112 is an apocalyptic number.

It is an amenable number.

72854112 is an abundant number, since it is smaller than the sum of its proper divisors (129642000).

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

72854112 is a wasteful number, since it uses less digits than its factorization.

72854112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44671 (or 44663 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 72854112 is about 8535.4620261589. The cubic root of 72854112 is about 417.6553250932.

Adding to 72854112 its reverse (21145827), we get a palindrome (93999939).

The spelling of 72854112 in words is "seventy-two million, eight hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 44641 89282 133923 178564 267846 357128 535692 714256 758897 1071384 1428512 1517794 2142768 2276691 3035588 4285536 4553382 6071176 9106764 12142352 18213528 24284704 36427056 72854112