Search a number
-
+
5251562688 = 263311635413
BaseRepresentation
bin1001110010000010…
…00111110011000000
3111112222202000200210
410321001013303000
541223400001223
62225035114120
7244065355251
oct47101076300
914488660623
105251562688
112255408859
1210268a2940
13658cca658
1437b666b28
1520b098893
hex139047cc0

5251562688 has 112 divisors (see below), whose sum is σ = 14433637376. Its totient is φ = 1683348480.

The previous prime is 5251562669. The next prime is 5251562689. The reversal of 5251562688 is 8862651525.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5251562689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 967470 + ... + 972882.

Almost surely, 25251562688 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 5251562688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216818688).

5251562688 is an abundant number, since it is smaller than the sum of its proper divisors (9182074688).

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

5251562688 is a wasteful number, since it uses less digits than its factorization.

5251562688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 5612 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 48.

The square root of 5251562688 is about 72467.6665003089. Note that the first 3 decimals coincide. The cubic root of 5251562688 is about 1738.1857480390.

The spelling of 5251562688 in words is "five billion, two hundred fifty-one million, five hundred sixty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 163 186 192 248 326 372 489 496 652 744 978 992 1304 1488 1956 1984 2608 2976 3912 5053 5216 5413 5952 7824 10106 10432 10826 15159 15648 16239 20212 21652 30318 31296 32478 40424 43304 60636 64956 80848 86608 121272 129912 161696 167803 173216 242544 259824 323392 335606 346432 485088 503409 519648 671212 882319 970176 1006818 1039296 1342424 1764638 2013636 2646957 2684848 3529276 4027272 5293914 5369696 7058552 8054544 10587828 10739392 14117104 16109088 21175656 27351889 28234208 32218176 42351312 54703778 56468416 82055667 84702624 109407556 164111334 169405248 218815112 328222668 437630224 656445336 875260448 1312890672 1750520896 2625781344 5251562688