Search a number
-
+
5254596816 = 243717390397
BaseRepresentation
bin1001110010011001…
…01100100011010000
3111120012110011201220
410321030230203100
541230134044231
62225224125040
7244133223150
oct47114544320
914505404656
105254596816
1122570a03a7
121027906780
136598206b1
1437bc16760
1520b497896
hex13932c8d0

5254596816 has 80 divisors (see below), whose sum is σ = 15603417984. Its totient is φ = 1492618752.

The previous prime is 5254596803. The next prime is 5254596821. The reversal of 5254596816 is 6186954525.

It is a happy number.

It is a super-2 number, since 2×52545968162 = 55221575397434675712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 12930 + ... + 103326.

Almost surely, 25254596816 is an apocalyptic number.

5254596816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5254596816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801708992).

5254596816 is an abundant number, since it is smaller than the sum of its proper divisors (10348821168).

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

5254596816 is a wasteful number, since it uses less digits than its factorization.

5254596816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90588 (or 90582 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 51.

The square root of 5254596816 is about 72488.5978344181. The cubic root of 5254596816 is about 1738.5204333516.

The spelling of 5254596816 in words is "five billion, two hundred fifty-four million, five hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 7266 8304 9688 14532 19376 29064 58128 90397 180794 271191 361588 542382 632779 723176 1084764 1265558 1446352 1898337 2169528 2531116 3796674 4339056 5062232 7593348 10124464 15186696 15638681 30373392 31277362 46916043 62554724 93832086 109470767 125109448 187664172 218941534 250218896 328412301 375328344 437883068 656824602 750656688 875766136 1313649204 1751532272 2627298408 5254596816