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53951040 = 263251113131
BaseRepresentation
bin1100110111001…
…1101001000000
310202111222220200
43031303221000
5102302413130
65204205200
71223401443
oct315635100
9122458820
1053951040
11284aa240
1216099800
13b23c8c0
14724565a
154b0a760
hex3373a40

53951040 has 336 divisors, whose sum is σ = 219675456. Its totient is φ = 11980800.

The previous prime is 53951033. The next prime is 53951083. The reversal of 53951040 is 4015935.

It is a junction number, because it is equal to n+sod(n) for n = 53950995 and 53951013.

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, 411775 + ... + 411905.

It is an arithmetic number, because the mean of its divisors is an integer number (653796).

Almost surely, 253951040 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 53951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109837728).

53951040 is an abundant number, since it is smaller than the sum of its proper divisors (165724416).

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

53951040 is a wasteful number, since it uses less digits than its factorization.

53951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 53951040 is about 7345.1371668608. The cubic root of 53951040 is about 377.8620475855.

Adding to 53951040 its reverse (4015935), we get a palindrome (57966975).

The spelling of 53951040 in words is "fifty-three million, nine hundred fifty-one thousand, forty".