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52028730 = 23851361
BaseRepresentation
bin1100011001111…
…0010100111010
310121220100000000
43012132110322
5101304404410
65055053430
71201144155
oct306362472
9117810000
1052028730
1127406a56
1215511276
13aa18940
146ca4c9c
15487adc0
hex319e53a

52028730 has 144 divisors (see below), whose sum is σ = 153755784. Its totient is φ = 12597120.

The previous prime is 52028723. The next prime is 52028731. The reversal of 52028730 is 3782025.

It can be written as a sum of positive squares in 4 ways, for example, as 17065161 + 34963569 = 4131^2 + 5913^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52028694 and 52028703.

It is not an unprimeable number, because it can be changed into a prime (52028731) 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, 852900 + ... + 852960.

Almost surely, 252028730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52028730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76877892).

52028730 is an abundant number, since it is smaller than the sum of its proper divisors (101727054).

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

52028730 is an equidigital number, since it uses as much as digits as its factorization.

52028730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 52028730 is about 7213.0943429294. The cubic root of 52028730 is about 373.3198434397.

The spelling of 52028730 in words is "fifty-two million, twenty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 61 65 78 81 90 117 122 130 135 162 183 195 234 243 270 305 351 366 390 405 486 549 585 610 702 729 793 810 915 1053 1098 1170 1215 1458 1586 1647 1755 1830 2106 2187 2379 2430 2745 3159 3294 3510 3645 3965 4374 4758 4941 5265 5490 6318 6561 7137 7290 7930 8235 9477 9882 10530 10935 11895 13122 14274 14823 15795 16470 18954 21411 21870 23790 24705 28431 29646 31590 32805 35685 42822 44469 47385 49410 56862 64233 65610 71370 74115 85293 88938 94770 107055 128466 133407 142155 148230 170586 192699 214110 222345 266814 284310 321165 385398 400221 426465 444690 578097 642330 667035 800442 852930 963495 1156194 1334070 1734291 1926990 2001105 2890485 3468582 4002210 5202873 5780970 8671455 10405746 17342910 26014365 52028730