Search a number
-
+
5251566264 = 2337234331607
BaseRepresentation
bin1001110010000010…
…01000101010111000
3111112222202012121020
410321001020222320
541223400110024
62225035142440
7244065401550
oct47101105270
914488665536
105251566264
11225541050a
1210268a4a20
13658ccc179
1437b668160
1520b099979
hex139048ab8

5251566264 has 128 divisors (see below), whose sum is σ = 16021463040. Its totient is φ = 1401789312.

The previous prime is 5251566259. The next prime is 5251566283. The reversal of 5251566264 is 4626651525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150349 + ... + 181955.

It is an arithmetic number, because the mean of its divisors is an integer number (125167680).

Almost surely, 25251566264 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 5251566264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010731520).

5251566264 is an abundant number, since it is smaller than the sum of its proper divisors (10769896776).

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

5251566264 is a wasteful number, since it uses less digits than its factorization.

5251566264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31689 (or 31685 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 5251566264 is about 72467.6911733774. The cubic root of 5251566264 is about 1738.1861425724.

The spelling of 5251566264 in words is "five billion, two hundred fifty-one million, five hundred sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 43 46 56 69 84 86 92 129 138 161 168 172 184 258 276 301 322 344 483 516 552 602 644 903 966 989 1032 1204 1288 1806 1932 1978 2408 2967 3612 3864 3956 5934 6923 7224 7912 11868 13846 20769 23736 27692 31607 41538 55384 63214 83076 94821 126428 166152 189642 221249 252856 379284 442498 663747 726961 758568 884996 1327494 1359101 1453922 1769992 2180883 2654988 2718202 2907844 4077303 4361766 5088727 5309976 5436404 5815688 8154606 8723532 9513707 10177454 10872808 15266181 16309212 17447064 19027414 20354908 28541121 30532362 31259323 32618424 38054828 40709816 57082242 61064724 62518646 76109656 93777969 114164484 122129448 125037292 187555938 218815261 228328968 250074584 375111876 437630522 656445783 750223752 875261044 1312891566 1750522088 2625783132 5251566264