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52870272 = 2737131789
BaseRepresentation
bin1100100110101…
…1110010000000
310200111002101020
43021223302000
5102013322042
65125105440
71211250510
oct311536200
9120432336
1052870272
1127931244
1215858280
13ac519b0
147043840
1549953ec
hex326bc80

52870272 has 256 divisors, whose sum is σ = 185068800. Its totient is φ = 12976128.

The previous prime is 52870249. The next prime is 52870273. The reversal of 52870272 is 27207825.

It is a super-2 number, since 2×528702722 = 5590531322707968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52870273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594004 + ... + 594092.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 252870272 is an apocalyptic number.

52870272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

52870272 is an abundant number, since it is smaller than the sum of its proper divisors (132198528).

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

52870272 is a wasteful number, since it uses less digits than its factorization.

52870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 52870272 is about 7271.1946748798. The cubic root of 52870272 is about 375.3218499102.

The spelling of 52870272 in words is "fifty-two million, eight hundred seventy thousand, two hundred seventy-two".