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53032320 = 273551131
BaseRepresentation
bin1100101001001…
…1010110000000
310200210022200000
43022103112000
5102034013240
65132400000
71212524115
oct312232600
9120708600
1053032320
1127a31a70
1215916000
13acaa693
14708690c
1549c8430
hex3293580

53032320 has 384 divisors, whose sum is σ = 213857280. Its totient is φ = 12441600.

The previous prime is 53032313. The next prime is 53032321. The reversal of 53032320 is 2323035.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 53032293 and 53032302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53032321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710705 + ... + 1710735.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 253032320 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 53032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

53032320 is an abundant number, since it is smaller than the sum of its proper divisors (160824960).

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

53032320 is a wasteful number, since it uses less digits than its factorization.

53032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 53032320 is about 7282.3292976904. The cubic root of 53032320 is about 375.7049140927.

Adding to 53032320 its reverse (2323035), we get a palindrome (55355355).

The spelling of 53032320 in words is "fifty-three million, thirty-two thousand, three hundred twenty".