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5303035452 = 22311132892671
BaseRepresentation
bin1001111000001010…
…11110011000111100
3111200120121010001110
410330011132120330
541330034113302
62234114242020
7245262025521
oct47405363074
914616533043
105303035452
112281475030
12103bb86310
13666880200
14384425148
15210864b6c
hex13c15e63c

5303035452 has 144 divisors (see below), whose sum is σ = 14786634240. Its totient is φ = 1466150400.

The previous prime is 5303035399. The next prime is 5303035483. The reversal of 5303035452 is 2545303035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984077 + ... + 1986747.

It is an arithmetic number, because the mean of its divisors is an integer number (102684960).

Almost surely, 25303035452 is an apocalyptic number.

5303035452 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5303035452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393317120).

5303035452 is an abundant number, since it is smaller than the sum of its proper divisors (9483598788).

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

5303035452 is a wasteful number, since it uses less digits than its factorization.

5303035452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The square root of 5303035452 is about 72821.9434785972. The cubic root of 5303035452 is about 1743.8461900202.

Adding to 5303035452 its reverse (2545303035), we get a palindrome (7848338487).

The spelling of 5303035452 in words is "five billion, three hundred three million, thirty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 89 132 143 156 169 178 267 286 338 356 429 507 534 572 676 858 979 1014 1068 1157 1716 1859 1958 2028 2314 2671 2937 3471 3718 3916 4628 5342 5577 5874 6942 7436 8013 10684 11154 11748 12727 13884 15041 16026 22308 25454 29381 30082 32052 34723 38181 45123 50908 58762 60164 69446 76362 88143 90246 104169 117524 138892 152724 165451 176286 180492 208338 237719 330902 352572 381953 416676 451399 475438 496353 661804 713157 763906 902798 950876 992706 1145859 1354197 1426314 1527812 1805596 1985412 2291718 2614909 2708394 2852628 3090347 4583436 4965389 5229818 5416788 6180694 7844727 9271041 9930778 10459636 12361388 14896167 15689454 18542082 19861556 29792334 31378908 33993817 37084164 40174511 59584668 67987634 80349022 101981451 120523533 135975268 160698044 203962902 241047066 407925804 441919621 482094132 883839242 1325758863 1767678484 2651517726 5303035452