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52994304 = 2833111741
BaseRepresentation
bin1100101000101…
…0000100000000
310200201101112000
43022022010000
5102031304204
65131504000
71212305226
oct312120400
9120641460
1052994304
1127a06450
12158b8000
13ac9629c
147076b16
1549bc039
hex328a100

52994304 has 288 divisors, whose sum is σ = 185431680. Its totient is φ = 14745600.

The previous prime is 52994273. The next prime is 52994327. The reversal of 52994304 is 40349925.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292524 + ... + 1292564.

It is an arithmetic number, because the mean of its divisors is an integer number (643860).

Almost surely, 252994304 is an apocalyptic number.

52994304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92715840).

52994304 is an abundant number, since it is smaller than the sum of its proper divisors (132437376).

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

52994304 is a wasteful number, since it uses less digits than its factorization.

52994304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 52994304 is about 7279.7186758830. The cubic root of 52994304 is about 375.6151184597.

The spelling of 52994304 in words is "fifty-two million, nine hundred ninety-four thousand, three hundred four".