Search a number
-
+
5490032688 = 243372962603
BaseRepresentation
bin1010001110011101…
…10100000000110000
3112011121110120001000
411013032310000300
542220422021223
62304434242000
7253022336130
oct50716640060
915147416030
105490032688
112367a868a8
121092726300
13696533c6a
143a11c0ac0
15221ea1543
hex1473b4030

5490032688 has 160 divisors (see below), whose sum is σ = 18630950400. Its totient is φ = 1514467584.

The previous prime is 5490032627. The next prime is 5490032701. The reversal of 5490032688 is 8862300945.

5490032688 is a `hidden beast` number, since 549 + 0 + 0 + 3 + 26 + 88 = 666.

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, 56395 + ... + 118997.

It is an arithmetic number, because the mean of its divisors is an integer number (116443440).

Almost surely, 25490032688 is an apocalyptic number.

5490032688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5490032688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9315475200).

5490032688 is an abundant number, since it is smaller than the sum of its proper divisors (13140917712).

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

5490032688 is a wasteful number, since it uses less digits than its factorization.

5490032688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62656 (or 62644 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5490032688 is about 74094.7547941148. The cubic root of 5490032688 is about 1764.1072173250.

The spelling of 5490032688 in words is "five billion, four hundred ninety million, thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1008 1044 1218 1392 1512 1566 1624 1827 2088 2436 3024 3132 3248 3654 4176 4872 5481 6264 7308 9744 10962 12528 14616 21924 29232 43848 62603 87696 125206 187809 250412 375618 438221 500824 563427 751236 876442 1001648 1126854 1314663 1502472 1690281 1752884 1815487 2253708 2629326 3004944 3380562 3505768 3630974 3943989 4507416 5258652 5446461 6761124 7011536 7261948 7887978 9014832 10517304 10892922 11831967 12708409 13522248 14523896 15775956 16339383 21034608 21785844 23663934 25416818 27044496 29047792 31551912 32678766 38125227 43571688 47327868 49018149 50833636 63103824 65357532 76250454 87143376 94655736 98036298 101667272 114375681 130715064 152500908 189311472 196072596 203334544 228751362 261430128 305001816 343127043 392145192 457502724 610003632 686254086 784290384 915005448 1372508172 1830010896 2745016344 5490032688