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52657020 = 22335132577
BaseRepresentation
bin1100100011011…
…1101101111100
310200002020212000
43020313231330
5101440011040
65120342300
71206402003
oct310675574
9120066760
1052657020
11277a5aa9
1215774990
13aba8900
146dc9c3a
154952130
hex3237b7c

52657020 has 144 divisors (see below), whose sum is σ = 177700320. Its totient is φ = 12939264.

The previous prime is 52657013. The next prime is 52657021. The reversal of 52657020 is 2075625.

52657020 is a `hidden beast` number, since 5 + 2 + 657 + 0 + 2 + 0 = 666.

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 (52657021) 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, 90972 + ... + 91548.

It is an arithmetic number, because the mean of its divisors is an integer number (1234030).

Almost surely, 252657020 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 52657020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88850160).

52657020 is an abundant number, since it is smaller than the sum of its proper divisors (125043300).

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

52657020 is a wasteful number, since it uses less digits than its factorization.

52657020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 52657020 is about 7256.5156928102. The cubic root of 52657020 is about 374.8165502712.

The spelling of 52657020 in words is "fifty-two million, six hundred fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 577 585 676 702 780 845 1014 1154 1170 1404 1521 1690 1731 1755 2028 2308 2340 2535 2885 3042 3380 3462 3510 4563 5070 5193 5770 6084 6924 7020 7501 7605 8655 9126 10140 10386 11540 15002 15210 15579 17310 18252 20772 22503 22815 25965 30004 30420 31158 34620 37505 45006 45630 51930 62316 67509 75010 77895 90012 91260 97513 103860 112515 135018 150020 155790 195026 202527 225030 270036 292539 311580 337545 390052 405054 450060 487565 585078 675090 810108 877617 975130 1012635 1170156 1350180 1462695 1755234 1950260 2025270 2632851 2925390 3510468 4050540 4388085 5265702 5850780 8776170 10531404 13164255 17552340 26328510 52657020