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974522952 = 23321322832
BaseRepresentation
bin111010000101100…
…000101001001000
32111220201220011200
4322011200221020
53443434213302
6240411224200
733102210534
oct7205405110
92456656150
10974522952
11460102577
12232448060
13126b89b00
14935d8bc4
155a84c81c
hex3a160a48

974522952 has 108 divisors (see below), whose sum is σ = 2868110505. Its totient is φ = 298793664.

The previous prime is 974522929. The next prime is 974522959. The reversal of 974522952 is 259225479.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

974522952 is a `hidden beast` number, since 9 + 74 + 522 + 9 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 833245956 + 141276996 = 28866^2 + 11886^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22074.

It is a junction number, because it is equal to n+sod(n) for n = 974522898 and 974522907.

It is not an unprimeable number, because it can be changed into a prime (974522959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3443403 + ... + 3443685.

Almost surely, 2974522952 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 974522952

974522952 is an abundant number, since it is smaller than the sum of its proper divisors (1893587553).

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

974522952 is a wasteful number, since it uses less digits than its factorization.

974522952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 301 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 974522952 is about 31217.3501758237. The cubic root of 974522952 is about 991.4344922210.

The spelling of 974522952 in words is "nine hundred seventy-four million, five hundred twenty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 283 312 338 468 507 566 676 849 936 1014 1132 1352 1521 1698 2028 2264 2547 3042 3396 3679 4056 5094 6084 6792 7358 10188 11037 12168 14716 20376 22074 29432 33111 44148 47827 66222 80089 88296 95654 132444 143481 160178 191308 240267 264888 286962 320356 382616 430443 480534 573924 640712 720801 860886 961068 1041157 1147848 1441602 1721772 1922136 2082314 2883204 3123471 3443544 4164628 5766408 6246942 8329256 9370413 12493884 13535041 18740826 24987768 27070082 37481652 40605123 54140164 74963304 81210246 108280328 121815369 162420492 243630738 324840984 487261476 974522952