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869998752 = 253371967113
BaseRepresentation
bin110011110110110…
…010000010100000
32020122001111221000
4303312302002200
53240204430002
6222155032000
730362603340
oct6366620240
92218044830
10869998752
11407100a37
1220343b600
1310b320c7c
148378ad20
15515a261c
hex33db20a0

869998752 has 384 divisors, whose sum is σ = 3125606400. Its totient is φ = 229920768.

The previous prime is 869998751. The next prime is 869998769. The reversal of 869998752 is 257899968.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 869998752.

It is not an unprimeable number, because it can be changed into a prime (869998751) 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 63 ways as a sum of consecutive naturals, for example, 7699048 + ... + 7699160.

It is an arithmetic number, because the mean of its divisors is an integer number (8139600).

Almost surely, 2869998752 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 869998752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562803200).

869998752 is an abundant number, since it is smaller than the sum of its proper divisors (2255607648).

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

869998752 is a wasteful number, since it uses less digits than its factorization.

869998752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The square root of 869998752 is about 29495.7412519164. The cubic root of 869998752 is about 954.6398144641.

The spelling of 869998752 in words is "eight hundred sixty-nine million, nine hundred ninety-eight thousand, seven hundred fifty-two".