Search a number
-
+
525244356 = 2232713672393
BaseRepresentation
bin11111010011101…
…001011111000100
31100121100011210200
4133103221133010
52033430304411
6124041450500
716005334440
oct3723513704
91317304720
10525244356
1124a53994a
12127aa0a30
1384a835a0
144da87820
15311a2e56
hex1f4e97c4

525244356 has 144 divisors (see below), whose sum is σ = 1659176064. Its totient is φ = 136401408.

The previous prime is 525244337. The next prime is 525244397. The reversal of 525244356 is 653442525.

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

It is a self number, because there is not a number n which added to its sum of digits gives 525244356.

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, 218296 + ... + 220688.

It is an arithmetic number, because the mean of its divisors is an integer number (11522056).

Almost surely, 2525244356 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 525244356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829588032).

525244356 is an abundant number, since it is smaller than the sum of its proper divisors (1133931708).

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

525244356 is a wasteful number, since it uses less digits than its factorization.

525244356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2485 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 525244356 is about 22918.2101395375. The cubic root of 525244356 is about 806.8394626375.

The spelling of 525244356 in words is "five hundred twenty-five million, two hundred forty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 67 78 84 91 117 126 134 156 182 201 234 252 268 273 364 402 468 469 546 603 804 819 871 938 1092 1206 1407 1638 1742 1876 2393 2412 2613 2814 3276 3484 4221 4786 5226 5628 6097 7179 7839 8442 9572 10452 12194 14358 15678 16751 16884 18291 21537 24388 28716 31109 31356 33502 36582 43074 50253 54873 62218 67004 73164 86148 93327 100506 109746 124436 150759 160331 186654 201012 217763 219492 279981 301518 320662 373308 435526 480993 559962 603036 641324 653289 871052 961986 1119924 1122317 1306578 1442979 1923972 1959867 2084303 2244634 2613156 2885958 3366951 3919734 4168606 4489268 5771916 6252909 6733902 7839468 8337212 10100853 12505818 13467804 14590121 18758727 20201706 25011636 29180242 37517454 40403412 43770363 58360484 75034908 87540726 131311089 175081452 262622178 525244356