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52031808 = 263410037
BaseRepresentation
bin1100011001111…
…1000101000000
310121220111020000
43012133011000
5101310004213
65055120000
71201156143
oct306370500
9117814200
1052031808
11274092a4
1215513000
13aa1a16a
146ca605a
15487bc73
hex319f140

52031808 has 70 divisors (see below), whose sum is σ = 154253946. Its totient is φ = 17342208.

The previous prime is 52031801. The next prime is 52031809. The reversal of 52031808 is 80813025.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 41062464 + 10969344 = 6408^2 + 3312^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52031801) 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 9 ways as a sum of consecutive naturals, for example, 166 + ... + 10202.

Almost surely, 252031808 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 52031808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77126973).

52031808 is an abundant number, since it is smaller than the sum of its proper divisors (102222138).

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

52031808 is a wasteful number, since it uses less digits than its factorization.

52031808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 52031808 is about 7213.3077017413. The cubic root of 52031808 is about 373.3272051148.

The spelling of 52031808 in words is "fifty-two million, thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10037 20074 30111 40148 60222 80296 90333 120444 160592 180666 240888 270999 321184 361332 481776 541998 642368 722664 812997 963552 1083996 1445328 1625994 1927104 2167992 2890656 3251988 4335984 5781312 6503976 8671968 13007952 17343936 26015904 52031808