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53021628 = 2237111929
BaseRepresentation
bin1100101001000…
…0101110111100
310200202210000000
43022100232330
5102033143003
65132234300
71212451002
oct312205674
9120683000
1053021628
1127a24a30
121590b990
13aca585a
147082a72
1549c51a3
hex3290bbc

53021628 has 192 divisors, whose sum is σ = 165312000. Its totient is φ = 14696640.

The previous prime is 53021621. The next prime is 53021653. The reversal of 53021628 is 82612035.

53021628 is a `hidden beast` number, since 5 + 30 + 2 + 1 + 628 = 666.

53021628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×530216282 = 5622586071540768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53021621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1828318 + ... + 1828346.

It is an arithmetic number, because the mean of its divisors is an integer number (861000).

Almost surely, 253021628 is an apocalyptic number.

53021628 is a gapful number since it is divisible by the number (58) 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 53021628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82656000).

53021628 is an abundant number, since it is smaller than the sum of its proper divisors (112290372).

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

53021628 is a wasteful number, since it uses less digits than its factorization.

53021628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53021628 is about 7281.5951549094. The cubic root of 53021628 is about 375.6796634095.

The spelling of 53021628 in words is "fifty-three million, twenty-one thousand, six hundred twenty-eight".