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52023072 = 253836529
BaseRepresentation
bin1100011001110…
…0111100100000
310121220001020110
43012130330200
5101304214242
65055011320
71201121523
oct306347440
9117801213
1052023072
1127402782
1215509b40
13aa161aa
146ca2bba
15487939c
hex319cf20

52023072 has 48 divisors (see below), whose sum is σ = 138227040. Its totient is φ = 17129472.

The previous prime is 52023019. The next prime is 52023089. The reversal of 52023072 is 27032025.

52023072 is nontrivially palindromic in base 13.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4704 + ... + 11232.

It is an arithmetic number, because the mean of its divisors is an integer number (2879730).

Almost surely, 252023072 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 52023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69113520).

52023072 is an abundant number, since it is smaller than the sum of its proper divisors (86203968).

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

52023072 is a wasteful number, since it uses less digits than its factorization.

52023072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 52023072 is about 7212.7021288835. The cubic root of 52023072 is about 373.3063104023.

Adding to 52023072 its reverse (27032025), we get a palindrome (79055097).

The spelling of 52023072 in words is "fifty-two million, twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 6529 7968 13058 19587 26116 39174 52232 78348 104464 156696 208928 313392 541907 626784 1083814 1625721 2167628 3251442 4335256 6502884 8670512 13005768 17341024 26011536 52023072