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53322880 = 2751321729
BaseRepresentation
bin1100101101101…
…0010010000000
310201100002020111
43023122102000
5102122313010
65142521104
71215144202
oct313322200
9121302214
1053322880
11281102a6
1215a36194
13b07ca00
147120772
154a3458a
hex32da480

53322880 has 192 divisors, whose sum is σ = 151194600. Its totient is φ = 17891328.

The previous prime is 53322869. The next prime is 53322943. The reversal of 53322880 is 8822335.

It can be written as a sum of positive squares in 12 ways, for example, as 440896 + 52881984 = 664^2 + 7272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1838706 + ... + 1838734.

Almost surely, 253322880 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 53322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75597300).

53322880 is an abundant number, since it is smaller than the sum of its proper divisors (97871720).

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

53322880 is a wasteful number, since it uses less digits than its factorization.

53322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 53322880 is about 7302.2517075215. The cubic root of 53322880 is about 376.3898175373.

The spelling of 53322880 in words is "fifty-three million, three hundred twenty-two thousand, eight hundred eighty".