Search a number
-
+
27703728 = 2433134933
BaseRepresentation
bin110100110101…
…1100110110000
31221010111101000
41221223212300
524043004403
62425442000
7454322613
oct151534660
957114330
1027703728
1114702248
129340300
13597ca50
14397217a
1526737a3
hex1a6b9b0

27703728 has 80 divisors (see below), whose sum is σ = 85654240. Its totient is φ = 8522496.

The previous prime is 27703723. The next prime is 27703747. The reversal of 27703728 is 82730772.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27703692 and 27703701.

It is not an unprimeable number, because it can be changed into a prime (27703721) 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 15 ways as a sum of consecutive naturals, for example, 3150 + ... + 8082.

It is an arithmetic number, because the mean of its divisors is an integer number (1070678).

Almost surely, 227703728 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 27703728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42827120).

27703728 is an abundant number, since it is smaller than the sum of its proper divisors (57950512).

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

27703728 is a wasteful number, since it uses less digits than its factorization.

27703728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 27703728 is about 5263.4331001733. The cubic root of 27703728 is about 302.5840778971.

The spelling of 27703728 in words is "twenty-seven million, seven hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 4933 5616 9866 14799 19732 29598 39464 44397 59196 64129 78928 88794 118392 128258 133191 177588 192387 236784 256516 266382 355176 384774 513032 532764 577161 710352 769548 1026064 1065528 1154322 1539096 1731483 2131056 2308644 3078192 3462966 4617288 6925932 9234576 13851864 27703728