Search a number
-
+
52449930 = 23451317293
BaseRepresentation
bin1100100000010…
…1001010001010
310122200201210000
43020011022022
5101411344210
65112103430
71204550151
oct310051212
9118621700
1052449930
1127674455
1215694b76
13ab35580
146d74598
154910ac0
hex320528a

52449930 has 160 divisors (see below), whose sum is σ = 161363664. Its totient is φ = 12109824.

The previous prime is 52449907. The next prime is 52449949. The reversal of 52449930 is 3994425.

52449930 is a `hidden beast` number, since 524 + 49 + 93 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34327881 + 18122049 = 5859^2 + 4257^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178864 + ... + 179156.

Almost surely, 252449930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52449930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80681832).

52449930 is an abundant number, since it is smaller than the sum of its proper divisors (108913734).

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

52449930 is a wasteful number, since it uses less digits than its factorization.

52449930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 52449930 is about 7242.2323906376. The cubic root of 52449930 is about 374.3245440886.

The spelling of 52449930 in words is "fifty-two million, four hundred forty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 81 85 90 102 117 130 135 153 162 170 195 221 234 255 270 293 306 351 390 405 442 459 510 585 586 663 702 765 810 879 918 1053 1105 1170 1326 1377 1465 1530 1755 1758 1989 2106 2210 2295 2637 2754 2930 3315 3510 3809 3978 4395 4590 4981 5265 5274 5967 6630 6885 7618 7911 8790 9945 9962 10530 11427 11934 13185 13770 14943 15822 17901 19045 19890 22854 23733 24905 26370 29835 29886 34281 35802 38090 39555 44829 47466 49810 57135 59670 64753 68562 74715 79110 89505 89658 102843 114270 118665 129506 134487 149430 171405 179010 194259 205686 224145 237330 268974 308529 323765 342810 388518 403461 448290 514215 582777 617058 647530 672435 806922 971295 1028430 1165554 1344870 1542645 1748331 1942590 2017305 2913885 3085290 3496662 4034610 5244993 5827770 8741655 10489986 17483310 26224965 52449930