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52547040 = 25325713401
BaseRepresentation
bin1100100001110…
…0110111100000
310122212122222200
43020130313200
5101423001130
65114133200
71205433240
oct310346740
9118778880
1052547040
1127730407
1215721200
13ab6a830
146d9bb20
15492e760
hex321cde0

52547040 has 288 divisors, whose sum is σ = 221247936. Its totient is φ = 11059200.

The previous prime is 52547039. The next prime is 52547059. The reversal of 52547040 is 4074525.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×525470402 = 5522382825523200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52546995 and 52547013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130840 + ... + 131240.

It is an arithmetic number, because the mean of its divisors is an integer number (768222).

Almost surely, 252547040 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 52547040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110623968).

52547040 is an abundant number, since it is smaller than the sum of its proper divisors (168700896).

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

52547040 is a wasteful number, since it uses less digits than its factorization.

52547040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 52547040 is about 7248.9337146921. The cubic root of 52547040 is about 374.5554198042. Note that the first 3 decimals are identical.

The spelling of 52547040 in words is "fifty-two million, five hundred forty-seven thousand, forty".