Search a number
-
+
5255730576 = 243331601653
BaseRepresentation
bin1001110010100010…
…00001010110010000
3111120021120202222000
410321101001112100
541230431334301
62225304314000
7244145654445
oct47121012620
914507522860
105255730576
1122577a5198
121028172900
13659b29765
1437c02d9cc
1520b61d786
hex139441590

5255730576 has 160 divisors (see below), whose sum is σ = 15622333440. Its totient is φ = 1689984000.

The previous prime is 5255730569. The next prime is 5255730631. The reversal of 5255730576 is 6750375525.

5255730576 = 2553 + 2563 + ... + 3983.

5255730576 is a `hidden beast` number, since 5 + 2 + 5 + 5 + 73 + 0 + 576 = 666.

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, 8048266 + ... + 8048918.

It is an arithmetic number, because the mean of its divisors is an integer number (97639584).

Almost surely, 25255730576 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 5255730576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811166720).

5255730576 is an abundant number, since it is smaller than the sum of its proper divisors (10366602864).

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

5255730576 is a wasteful number, since it uses less digits than its factorization.

5255730576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The square root of 5255730576 is about 72496.4176770135. The cubic root of 5255730576 is about 1738.6454618584.

The spelling of 5255730576 in words is "five billion, two hundred fifty-five million, seven hundred thirty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 601 653 744 837 1116 1202 1306 1488 1674 1803 1959 2232 2404 2612 3348 3606 3918 4464 4808 5224 5409 5877 6696 7212 7836 9616 10448 10818 11754 13392 14424 15672 16227 17631 18631 20243 21636 23508 28848 31344 32454 35262 37262 40486 43272 47016 55893 60729 64908 70524 74524 80972 86544 94032 111786 121458 129816 141048 149048 161944 167679 182187 223572 242916 259632 282096 298096 323888 335358 364374 392453 447144 485832 503037 546561 670716 728748 784906 894288 971664 1006074 1093122 1177359 1341432 1457496 1569812 2012148 2186244 2354718 2682864 2914992 3139624 3532077 4024296 4372488 4709436 6279248 7064154 8048592 8744976 9418872 10596231 12166043 14128308 18837744 21192462 24332086 28256616 36498129 42384924 48664172 56513232 72996258 84769848 97328344 109494387 145992516 169539696 194656688 218988774 291985032 328483161 437977548 583970064 656966322 875955096 1313932644 1751910192 2627865288 5255730576