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52303680 = 263251113127
BaseRepresentation
bin1100011110000…
…1011101000000
310122102022011100
43013201131000
5101342204210
65105014400
71203400602
oct307413500
9118368140
1052303680
1127584590
1215624400
13aab3b30
146d37172
1548d25c0
hex31e1740

52303680 has 336 divisors, whose sum is σ = 213018624. Its totient is φ = 11612160.

The previous prime is 52303663. The next prime is 52303687. The reversal of 52303680 is 8630325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52303687) 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 47 ways as a sum of consecutive naturals, for example, 411777 + ... + 411903.

It is an arithmetic number, because the mean of its divisors is an integer number (633984).

Almost surely, 252303680 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 52303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106509312).

52303680 is an abundant number, since it is smaller than the sum of its proper divisors (160714944).

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

52303680 is a wasteful number, since it uses less digits than its factorization.

52303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52303680 is about 7232.1283174457. The cubic root of 52303680 is about 373.9763013189.

The spelling of 52303680 in words is "fifty-two million, three hundred three thousand, six hundred eighty".