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52387872 = 2532292383
BaseRepresentation
bin1100011111011…
…0000000100000
310122120120122120
43013312000200
5101402402442
65110504240
71204201215
oct307660040
9118516576
1052387872
1127631869
1215665080
13ab13254
146d59b0c
1548ec4ec
hex31f6020

52387872 has 48 divisors (see below), whose sum is σ = 138176640. Its totient is φ = 17379072.

The previous prime is 52387871. The next prime is 52387879. The reversal of 52387872 is 27878325.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×523878723 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (52387871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20793 + ... + 23175.

It is an arithmetic number, because the mean of its divisors is an integer number (2878680).

Almost surely, 252387872 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 52387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69088320).

52387872 is an abundant number, since it is smaller than the sum of its proper divisors (85788768).

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

52387872 is a wasteful number, since it uses less digits than its factorization.

52387872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2617 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 52387872 is about 7237.9466701545. The cubic root of 52387872 is about 374.1768540262.

The spelling of 52387872 in words is "fifty-two million, three hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2383 2748 3664 4766 5496 7149 7328 9532 10992 14298 19064 21984 28596 38128 57192 76256 114384 228768 545707 1091414 1637121 2182828 3274242 4365656 6548484 8731312 13096968 17462624 26193936 52387872