Search a number
-
+
481624728 = 233133534373
BaseRepresentation
bin11100101101010…
…000001010011000
31020120021001220220
4130231100022120
51441243442403
6115442520040
714635512504
oct3455201230
91216231826
10481624728
11227956872
12115366020
1378a20360
1447d71304
152c438953
hex1cb50298

481624728 has 64 divisors (see below), whose sum is σ = 1300652640. Its totient is φ = 147738624.

The previous prime is 481624667. The next prime is 481624753. The reversal of 481624728 is 827426184.

It is a self number, because there is not a number n which added to its sum of digits gives 481624728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107950 + ... + 112322.

Almost surely, 2481624728 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 481624728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650326320).

481624728 is an abundant number, since it is smaller than the sum of its proper divisors (819027912).

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

481624728 is a wasteful number, since it uses less digits than its factorization.

481624728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4744 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 481624728 is about 21945.9501503125. The cubic root of 481624728 is about 783.8559493427.

The spelling of 481624728 in words is "four hundred eighty-one million, six hundred twenty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 353 706 1059 1412 2118 2824 4236 4373 4589 8472 8746 9178 13119 13767 17492 18356 26238 27534 34984 36712 52476 55068 56849 104952 110136 113698 170547 227396 341094 454792 682188 1364376 1543669 3087338 4631007 6174676 9262014 12349352 18524028 20067697 37048056 40135394 60203091 80270788 120406182 160541576 240812364 481624728