Search a number
-
+
5648250608 = 2471113734831
BaseRepresentation
bin1010100001010100…
…10111011011110000
3112120122011212012222
411100222113123300
543031423004413
62332245340212
7256653223640
oct52052273360
915518155188
105648250608
112439321310
121117707668
136c024c530
143b8208520
15230d05b08
hex150a976f0

5648250608 has 160 divisors (see below), whose sum is σ = 14897713152. Its totient is φ = 2003097600.

The previous prime is 5648250589. The next prime is 5648250637. The reversal of 5648250608 is 8060528465.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166753 + ... + 1171583.

Almost surely, 25648250608 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 5648250608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448856576).

5648250608 is an abundant number, since it is smaller than the sum of its proper divisors (9249462544).

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

5648250608 is a wasteful number, since it uses less digits than its factorization.

5648250608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The square root of 5648250608 is about 75154.8442084740. The cubic root of 5648250608 is about 1780.8936521784.

The spelling of 5648250608 in words is "five billion, six hundred forty-eight million, two hundred fifty thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 73 77 88 91 104 112 143 146 154 176 182 208 286 292 308 364 511 572 584 616 728 803 949 1001 1022 1144 1168 1232 1456 1606 1898 2002 2044 2288 3212 3796 4004 4088 4831 5621 6424 6643 7592 8008 8176 9662 10439 11242 12848 13286 15184 16016 19324 20878 22484 26572 33817 38648 41756 44968 53141 53144 62803 67634 73073 77296 83512 89936 106282 106288 125606 135268 146146 167024 212564 251212 270536 292292 352663 371987 425128 439621 502424 541072 584584 690833 705326 743974 850256 879242 1004848 1169168 1381666 1410652 1487948 1758484 2468641 2763332 2821304 2975896 3516968 3879293 4584619 4835831 4937282 5526664 5642608 5951792 7033936 7758586 9169238 9671662 9874564 11053328 15517172 18338476 19343324 19749128 27155051 31034344 32092333 36676952 38686648 39498256 50430809 54310102 62068688 64184666 73353904 77373296 100861618 108620204 128369332 201723236 217240408 256738664 353015663 403446472 434480816 513477328 706031326 806892944 1412062652 2824125304 5648250608