Search a number
-
+
1474252816 = 242923312
BaseRepresentation
bin101011111011111…
…0101000000010000
310210202001210200011
41113313311000100
511004402042231
6402142204304
751350641111
oct12767650020
93722053604
101474252816
116971a4a63
12351883694
131a6578c5a
14ddb20208
15896609b1
hex57df5010

1474252816 has 45 divisors (see below), whose sum is σ = 2967220893. Its totient is φ = 709558080.

The previous prime is 1474252811. The next prime is 1474252837. The reversal of 1474252816 is 6182524741.

The square root of 1474252816 is 38396.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 773062416 + 701190400 = 27804^2 + 26480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1474252811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4453771 + ... + 4454101.

Almost surely, 21474252816 is an apocalyptic number.

1474252816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1474252816 is the 38396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1474252816

1474252816 is an abundant number, since it is smaller than the sum of its proper divisors (1492968077).

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

1474252816 is an frugal number, since it uses more digits than its factorization.

1474252816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 362 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The cubic root of 1474252816 is about 1138.1268139911.

The spelling of 1474252816 in words is "one billion, four hundred seventy-four million, two hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 331 464 662 841 1324 1682 2648 3364 5296 6728 9599 13456 19198 38396 76792 109561 153584 219122 278371 438244 556742 876488 1113484 1752976 2226968 3177269 4453936 6354538 12709076 25418152 50836304 92140801 184281602 368563204 737126408 1474252816