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53488480 = 2551093067
BaseRepresentation
bin1100110000001…
…0101101100000
310201122111101211
43030002231200
5102143112410
65150235504
71216434043
oct314025540
9121574354
1053488480
1128213761
1215ab5b94
13b10a1b6
147164c5a
154a6868a
hex3302b60

53488480 has 48 divisors (see below), whose sum is σ = 127567440. Its totient is φ = 21192192.

The previous prime is 53488459. The next prime is 53488481. The reversal of 53488480 is 8488435.

It is a super-2 number, since 2×534884802 = 5722034985420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53488481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15907 + ... + 18973.

It is an arithmetic number, because the mean of its divisors is an integer number (2657655).

Almost surely, 253488480 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 53488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63783720).

53488480 is an abundant number, since it is smaller than the sum of its proper divisors (74078960).

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

53488480 is a wasteful number, since it uses less digits than its factorization.

53488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 53488480 is about 7313.5818857794. The cubic root of 53488480 is about 376.7790547061.

The spelling of 53488480 in words is "fifty-three million, four hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3067 3488 4360 6134 8720 12268 15335 17440 24536 30670 49072 61340 98144 122680 245360 334303 490720 668606 1337212 1671515 2674424 3343030 5348848 6686060 10697696 13372120 26744240 53488480