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52303520 = 255893673
BaseRepresentation
bin1100011110000…
…1011010100000
310122102021221102
43013201122200
5101342203040
65105013532
71203400253
oct307413240
9118367842
1052303520
1127584455
12156242a8
13aab3a39
146d3709a
1548d2515
hex31e16a0

52303520 has 48 divisors (see below), whose sum is σ = 124989480. Its totient is φ = 20680704.

The previous prime is 52303513. The next prime is 52303571. The reversal of 52303520 is 2530325.

It can be written as a sum of positive squares in 4 ways, for example, as 20539024 + 31764496 = 4532^2 + 5636^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 52303492 and 52303501.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12404 + ... + 16076.

Almost surely, 252303520 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 52303520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62494740).

52303520 is an abundant number, since it is smaller than the sum of its proper divisors (72685960).

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

52303520 is a wasteful number, since it uses less digits than its factorization.

52303520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 52303520 is about 7232.1172556866. The cubic root of 52303520 is about 373.9759199801.

Adding to 52303520 its reverse (2530325), we get a palindrome (54833845).

It can be divided in two parts, 5 and 2303520, that multiplied together give a triangular number (11517600 = T4799).

The spelling of 52303520 in words is "fifty-two million, three hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 3673 7120 7346 14240 14692 18365 29384 36730 58768 73460 117536 146920 293840 326897 587680 653794 1307588 1634485 2615176 3268970 5230352 6537940 10460704 13075880 26151760 52303520