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53538576 = 243721317103
BaseRepresentation
bin1100110000111…
…0111100010000
310201202001010020
43030032330100
5102201213301
65151303440
71220033100
oct314167420
9121661106
1053538576
1128248363
1215b1ab80
13b126c40
147179200
154a78436
hex330ef10

53538576 has 240 divisors, whose sum is σ = 185238144. Its totient is φ = 13160448.

The previous prime is 53538571. The next prime is 53538577. The reversal of 53538576 is 67583535.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53538571) 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, 519741 + ... + 519843.

Almost surely, 253538576 is an apocalyptic number.

53538576 is a gapful number since it is divisible by the number (56) 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 53538576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

53538576 is an abundant number, since it is smaller than the sum of its proper divisors (131699568).

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

53538576 is a wasteful number, since it uses less digits than its factorization.

53538576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 53538576 is about 7317.0059450570. The cubic root of 53538576 is about 376.8966453470.

The spelling of 53538576 in words is "fifty-three million, five hundred thirty-eight thousand, five hundred seventy-six".