Search a number
-
+
5157530992 = 241722634241
BaseRepresentation
bin1001100110110100…
…11010110101110000
3111022102210201110101
410303122122311300
541030311442432
62211435442144
7241544201335
oct46332326560
914272721411
105157530992
112207323409
12bbb2b6354
136426965b3
1436cd8a98c
15202bc24e7
hex13369ad70

5157530992 has 60 divisors (see below), whose sum is σ = 10657974096. Its totient is φ = 2417274880.

The previous prime is 5157530969. The next prime is 5157530993. The reversal of 5157530992 is 2990357515.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5157530993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1213992 + ... + 1218232.

Almost surely, 25157530992 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 5157530992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328987048).

5157530992 is an abundant number, since it is smaller than the sum of its proper divisors (5500443104).

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

5157530992 is a wasteful number, since it uses less digits than its factorization.

5157530992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 46.

The square root of 5157530992 is about 71815.9522111905. The cubic root of 5157530992 is about 1727.7488614650.

The spelling of 5157530992 in words is "five billion, one hundred fifty-seven million, five hundred thirty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 68 136 263 272 289 526 578 1052 1156 2104 2312 4208 4241 4471 4624 8482 8942 16964 17884 33928 35768 67856 71536 72097 76007 144194 152014 288388 304028 576776 608056 1115383 1153552 1216112 1225649 2230766 2451298 4461532 4902596 8923064 9805192 17846128 18961511 19610384 37923022 75846044 151692088 303384176 322345687 644691374 1289382748 2578765496 5157530992