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53922960 = 24325713823
BaseRepresentation
bin1100110110110…
…0110010010000
310202110120101200
43031230302100
5102301013320
65203431200
71223223540
oct315546220
9122416350
1053922960
1128490133
1216085500
13b22cba0
147239320
154b02290
hex336cc90

53922960 has 240 divisors, whose sum is σ = 223152384. Its totient is φ = 11363328.

The previous prime is 53922917. The next prime is 53923013. The reversal of 53922960 is 6922935.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65109 + ... + 65931.

Almost surely, 253922960 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 53922960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111576192).

53922960 is an abundant number, since it is smaller than the sum of its proper divisors (169229424).

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

53922960 is a wasteful number, since it uses less digits than its factorization.

53922960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 53922960 is about 7343.2254493513. The cubic root of 53922960 is about 377.7964806837.

The spelling of 53922960 in words is "fifty-three million, nine hundred twenty-two thousand, nine hundred sixty".