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772530252 = 2231317377873
BaseRepresentation
bin101110000010111…
…110000001001100
31222211122121021120
4232002332001030
53040231432002
6204354000540
725100253534
oct5602760114
91884577246
10772530252
1136708945a
12196876150
13c40857c0
14748584c4
1547c4ccbc
hex2e0be04c

772530252 has 96 divisors (see below), whose sum is σ = 2111239872. Its totient is φ = 217645056.

The previous prime is 772530223. The next prime is 772530257. The reversal of 772530252 is 252035277.

It is not an unprimeable number, because it can be changed into a prime (772530257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94188 + ... + 102060.

It is an arithmetic number, because the mean of its divisors is an integer number (21992082).

Almost surely, 2772530252 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 772530252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055619936).

772530252 is an abundant number, since it is smaller than the sum of its proper divisors (1338709620).

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

772530252 is a wasteful number, since it uses less digits than its factorization.

772530252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947 (or 7945 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 772530252 is about 27794.4284344902. The cubic root of 772530252 is about 917.5685053547.

The spelling of 772530252 in words is "seven hundred seventy-two million, five hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 37 39 51 52 68 74 78 102 111 148 156 204 221 222 442 444 481 629 663 884 962 1258 1326 1443 1887 1924 2516 2652 2886 3774 5772 7548 7873 8177 15746 16354 23619 24531 31492 32708 47238 49062 94476 98124 102349 133841 204698 267682 291301 307047 401523 409396 535364 582602 614094 803046 873903 1165204 1228188 1606092 1739933 1747806 3479866 3495612 3786913 4952117 5219799 6959732 7573826 9904234 10439598 11360739 14856351 15147652 19808468 20879196 22721478 29712702 45442956 59425404 64377521 128755042 193132563 257510084 386265126 772530252