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869953552 = 241311337013
BaseRepresentation
bin110011110110100…
…111000000010000
32020121222012220221
4303312213000100
53240202003202
6222154042424
730362324506
oct6366470020
92217865827
10869953552
1140707aa86
12203419414
1310b306520
1483778676
1551594037
hex33da7010

869953552 has 40 divisors (see below), whose sum is σ = 1831304664. Its totient is φ = 397953024.

The previous prime is 869953543. The next prime is 869953663. The reversal of 869953552 is 255359968.

It can be written as a sum of positive squares in 4 ways, for example, as 13571856 + 856381696 = 3684^2 + 29264^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 869953552.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4998 + ... + 42010.

Almost surely, 2869953552 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 869953552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915652332).

869953552 is an abundant number, since it is smaller than the sum of its proper divisors (961351112).

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

869953552 is a wasteful number, since it uses less digits than its factorization.

869953552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37147 (or 37141 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 52.

The square root of 869953552 is about 29494.9750296555. The cubic root of 869953552 is about 954.6232816945.

The spelling of 869953552 in words is "eight hundred sixty-nine million, nine hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 113 208 226 452 904 1469 1808 2938 5876 11752 23504 37013 74026 148052 296104 481169 592208 962338 1924676 3849352 4182469 7698704 8364938 16729876 33459752 54372097 66919504 108744194 217488388 434976776 869953552