Search a number
-
+
5200691408 = 2411172591733
BaseRepresentation
bin1001101011111110…
…00100000011010000
3111102110000111102022
410311333010003100
541122334111113
62220020511012
7242610101423
oct46577040320
914373014368
105200691408
112229722480
12101184b468
1364b5c87c3
143749c39ba
1520689a908
hex135fc40d0

5200691408 has 120 divisors (see below), whose sum is σ = 11881784160. Its totient is φ = 2185922560.

The previous prime is 5200691407. The next prime is 5200691429. The reversal of 5200691408 is 8041960025.

It is a super-2 number, since 2×52006914082 = 54094382242490044928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200691401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3000110 + ... + 3001842.

It is an arithmetic number, because the mean of its divisors is an integer number (99014868).

Almost surely, 25200691408 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 5200691408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940892080).

5200691408 is an abundant number, since it is smaller than the sum of its proper divisors (6681092752).

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

5200691408 is a wasteful number, since it uses less digits than its factorization.

5200691408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 5200691408 is about 72115.8194018483. The cubic root of 5200691408 is about 1732.5549924901.

The spelling of 5200691408 in words is "five billion, two hundred million, six hundred ninety-one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 59 68 88 118 136 176 187 236 272 289 374 472 578 649 748 944 1003 1156 1298 1496 1733 2006 2312 2596 2992 3179 3466 4012 4624 5192 6358 6932 8024 10384 11033 12716 13864 16048 17051 19063 22066 25432 27728 29461 34102 38126 44132 50864 58922 68204 76252 88264 102247 117844 136408 152504 176528 187561 204494 235688 272816 305008 324071 375122 408988 471376 500837 648142 750244 817976 1001674 1124717 1296284 1500488 1635952 1738199 2003348 2249434 2592568 3000976 3476398 4006696 4498868 5185136 5509207 6952796 8013392 8997736 11018414 13905592 17995472 19120189 22036828 27811184 29549383 38240378 44073656 59098766 76480756 88147312 118197532 152961512 236395064 305923024 325043213 472790128 650086426 1300172852 2600345704 5200691408