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52384752 = 24337171019
BaseRepresentation
bin1100011111010…
…1001111110000
310122120102101000
43013311033300
5101402303002
65110442000
71204156140
oct307651760
9118512330
1052384752
112762a492
1215663300
13ab119c4
146d58920
1548eb61c
hex31f53f0

52384752 has 160 divisors (see below), whose sum is σ = 182131200. Its totient is φ = 14072832.

The previous prime is 52384751. The next prime is 52384771. The reversal of 52384752 is 25748325.

52384752 is a `hidden beast` number, since 523 + 84 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52384751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50899 + ... + 51917.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 252384752 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 52384752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

52384752 is an abundant number, since it is smaller than the sum of its proper divisors (129746448).

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

52384752 is a wasteful number, since it uses less digits than its factorization.

52384752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1048 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 52384752 is about 7237.7311362056. The cubic root of 52384752 is about 374.1694257486.

The spelling of 52384752 in words is "fifty-two million, three hundred eighty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1019 1071 1224 1428 1512 1836 1904 2038 2142 2448 2856 3024 3057 3213 3672 4076 4284 5712 6114 6426 7133 7344 8152 8568 9171 12228 12852 14266 16304 17136 17323 18342 21399 24456 25704 27513 28532 34646 36684 42798 48912 51408 51969 55026 57064 64197 69292 73368 85596 103938 110052 114128 121261 128394 138584 146736 155907 171192 192591 207876 220104 242522 256788 277168 311814 342384 363783 385182 415752 440208 467721 485044 513576 623628 727566 770364 831504 935442 970088 1027152 1091349 1247256 1455132 1540728 1870884 1940176 2182698 2494512 2910264 3081456 3274047 3741768 4365396 5820528 6548094 7483536 8730792 13096188 17461584 26192376 52384752