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53072640 = 2832517271
BaseRepresentation
bin1100101001110…
…1001100000000
310200212100222100
43022131030000
5102041311030
65133310400
71213052505
oct312351400
9120770870
1053072640
1127a5a295
1215935400
13acc2b3a
1470974ac
1549d5360
hex329d300

53072640 has 216 divisors, whose sum is σ = 195144768. Its totient is φ = 13271040.

The previous prime is 53072633. The next prime is 53072647. The reversal of 53072640 is 4627035.

It is a happy number.

53072640 is a `hidden beast` number, since 530 + 72 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53072633) and next prime (53072647).

It is not an unprimeable number, because it can be changed into a prime (53072647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195705 + ... + 195975.

It is an arithmetic number, because the mean of its divisors is an integer number (903448).

Almost surely, 253072640 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 53072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97572384).

53072640 is an abundant number, since it is smaller than the sum of its proper divisors (142072128).

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

53072640 is a wasteful number, since it uses less digits than its factorization.

53072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53072640 is about 7285.0971167171. The cubic root of 53072640 is about 375.8001050045.

Adding to 53072640 its reverse (4627035), we get a palindrome (57699675).

The spelling of 53072640 in words is "fifty-three million, seventy-two thousand, six hundred forty".