Search a number
-
+
52418730 = 23572132211
BaseRepresentation
bin1100011111110…
…1100010101010
310122122010222110
43013331202222
5101404344410
65111303150
71204360200
oct307754252
9118563873
1052418730
1127652a71
121567aab6
13ab24300
146d67070
154906720
hex31fd8aa

52418730 has 144 divisors (see below), whose sum is σ = 159218784. Its totient is φ = 11007360.

The previous prime is 52418711. The next prime is 52418731. The reversal of 52418730 is 3781425.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (52418731) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248325 + ... + 248535.

It is an arithmetic number, because the mean of its divisors is an integer number (1105686).

Almost surely, 252418730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52418730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79609392).

52418730 is an abundant number, since it is smaller than the sum of its proper divisors (106800054).

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

52418730 is a wasteful number, since it uses less digits than its factorization.

52418730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 52418730 is about 7240.0780382535. The cubic root of 52418730 is about 374.2503066696.

The spelling of 52418730 in words is "fifty-two million, four hundred eighteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 169 182 195 210 211 245 273 294 338 390 422 455 490 507 546 633 637 735 845 910 1014 1055 1183 1266 1274 1365 1470 1477 1690 1911 2110 2366 2535 2730 2743 2954 3165 3185 3549 3822 4431 5070 5486 5915 6330 6370 7098 7385 8229 8281 8862 9555 10339 11830 13715 14770 16458 16562 17745 19110 19201 20678 22155 24843 27430 31017 35490 35659 38402 41145 41405 44310 49686 51695 57603 62034 71318 82290 82810 96005 103390 106977 115206 124215 134407 155085 178295 192010 213954 248430 249613 268814 288015 310170 356590 403221 499226 534885 576030 672035 748839 806442 1069770 1248065 1344070 1497678 1747291 2016105 2496130 3494582 3744195 4032210 5241873 7488390 8736455 10483746 17472910 26209365 52418730