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525302442 = 2337379359
BaseRepresentation
bin11111010011110…
…111101010101010
31100121110010111000
4133103313222222
52033434134232
6124043015430
716005666000
oct3723675252
91317403430
10525302442
1124a579555
12127b0a576
1384aa3b62
144daa0a70
15311b527c
hex1f4f7aaa

525302442 has 128 divisors (see below), whose sum is σ = 1382400000. Its totient is φ = 147773808.

The previous prime is 525302441. The next prime is 525302467. The reversal of 525302442 is 244203525.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (525302441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1463059 + ... + 1463417.

It is an arithmetic number, because the mean of its divisors is an integer number (10800000).

Almost surely, 2525302442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525302442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200000).

525302442 is an abundant number, since it is smaller than the sum of its proper divisors (857097558).

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

525302442 is a wasteful number, since it uses less digits than its factorization.

525302442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 525302442 is about 22919.4773500619. The cubic root of 525302442 is about 806.8692039372.

Adding to 525302442 its reverse (244203525), we get a palindrome (769505967).

The spelling of 525302442 in words is "five hundred twenty-five million, three hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 79 98 126 147 158 189 237 294 343 359 378 441 474 553 686 711 718 882 1029 1077 1106 1323 1422 1659 2058 2133 2154 2513 2646 3087 3231 3318 3871 4266 4977 5026 6174 6462 7539 7742 9261 9693 9954 11613 14931 15078 17591 18522 19386 22617 23226 27097 28361 29862 34839 35182 45234 52773 54194 56722 67851 69678 81291 85083 104517 105546 123137 135702 158319 162582 170166 198527 209034 243873 246274 255249 316638 369411 397054 474957 487746 510498 595581 731619 738822 765747 949914 1108233 1191162 1389689 1463238 1531494 1786743 2216466 2779378 3324699 3573486 4169067 5360229 6649398 8338134 9727823 10720458 12507201 19455646 25014402 29183469 37521603 58366938 75043206 87550407 175100814 262651221 525302442