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869840552 = 237273113269
BaseRepresentation
bin110011110110001…
…011011010101000
32020121202110220202
4303312023122220
53240134344202
6222151411332
730361344200
oct6366133250
92217673822
10869840552
11407003099
12203383b48
1310b296c69
1483749400
1551570802
hex33d8b6a8

869840552 has 96 divisors (see below), whose sum is σ = 1947450600. Its totient is φ = 363073536.

The previous prime is 869840551. The next prime is 869840567. The reversal of 869840552 is 255048968.

It can be written as a sum of positive squares in 4 ways, for example, as 296046436 + 573794116 = 17206^2 + 23954^2 .

It is a super-3 number, since 3×8698405523 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 869840497 and 869840506.

It is not an unprimeable number, because it can be changed into a prime (869840551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3233474 + ... + 3233742.

Almost surely, 2869840552 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 869840552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973725300).

869840552 is an abundant number, since it is smaller than the sum of its proper divisors (1077610048).

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

869840552 is a wasteful number, since it uses less digits than its factorization.

869840552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The square root of 869840552 is about 29493.0593869134. The cubic root of 869840552 is about 954.5819472648.

The spelling of 869840552 in words is "eight hundred sixty-nine million, eight hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 113 146 196 226 269 292 392 452 511 538 584 791 904 1022 1076 1582 1883 2044 2152 3164 3577 3766 4088 5537 6328 7154 7532 8249 11074 13181 14308 15064 16498 19637 22148 26362 28616 30397 32996 39274 44296 52724 57743 60794 65992 78548 105448 115486 121588 137459 157096 212779 230972 243176 274918 404201 425558 461944 549836 808402 851116 962213 1099672 1489453 1616804 1702232 1924426 2218981 2978906 3233608 3848852 4437962 5957812 7697704 8875924 11915624 15532867 17751848 31065734 62131468 108730069 124262936 217460138 434920276 869840552