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52500384 = 2532421433
BaseRepresentation
bin1100100001000…
…1011110100000
310122210021222200
43020101132200
5101420003014
65113133200
71205150226
oct310213640
9118707880
1052500384
11276a9352
12156ba200
13ab52521
146d88b16
154920a09
hex32117a0

52500384 has 72 divisors (see below), whose sum is σ = 149998212. Its totient is φ = 17418240.

The previous prime is 52500367. The next prime is 52500389. The reversal of 52500384 is 48300525.

It can be written as a sum of positive squares in 2 ways, for example, as 36723600 + 15776784 = 6060^2 + 3972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (52500389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121032 + ... + 121464.

Almost surely, 252500384 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 52500384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74999106).

52500384 is an abundant number, since it is smaller than the sum of its proper divisors (97497828).

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

52500384 is a wasteful number, since it uses less digits than its factorization.

52500384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52500384 is about 7245.7148715637. The cubic root of 52500384 is about 374.4445322879. Note that the first 3 decimals are identical.

The spelling of 52500384 in words is "fifty-two million, five hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421 433 842 866 1263 1299 1684 1732 2526 2598 3368 3464 3789 3897 5052 5196 6736 6928 7578 7794 10104 10392 13472 13856 15156 15588 20208 20784 30312 31176 40416 41568 60624 62352 121248 124704 182293 364586 546879 729172 1093758 1458344 1640637 2187516 2916688 3281274 4375032 5833376 6562548 8750064 13125096 17500128 26250192 52500384