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52966620 = 223257127331
BaseRepresentation
bin1100101000001…
…1010011011100
310200122222112200
43022003103130
5102024412440
65131131500
71212131430
oct312032334
9120588480
1052966620
1127997673
12158a3b90
13ac867c5
14706a9c0
1549b3c30
hex32834dc

52966620 has 144 divisors (see below), whose sum is σ = 185622528. Its totient is φ = 11975040.

The previous prime is 52966609. The next prime is 52966621. The reversal of 52966620 is 2666925.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52966621) 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, 159855 + ... + 160185.

Almost surely, 252966620 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 52966620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92811264).

52966620 is an abundant number, since it is smaller than the sum of its proper divisors (132655908).

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

52966620 is a wasteful number, since it uses less digits than its factorization.

52966620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 52966620 is about 7277.8169803864. The cubic root of 52966620 is about 375.5497004846.

The spelling of 52966620 in words is "fifty-two million, nine hundred sixty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 127 140 180 210 252 254 315 331 381 420 508 630 635 662 762 889 993 1143 1260 1270 1324 1524 1655 1778 1905 1986 2286 2317 2540 2667 2979 3310 3556 3810 3972 4445 4572 4634 4965 5334 5715 5958 6620 6951 7620 8001 8890 9268 9930 10668 11430 11585 11916 13335 13902 14895 16002 17780 19860 20853 22860 23170 26670 27804 29790 32004 34755 40005 41706 42037 46340 53340 59580 69510 80010 83412 84074 104265 126111 139020 160020 168148 208530 210185 252222 294259 378333 417060 420370 504444 588518 630555 756666 840740 882777 1177036 1261110 1471295 1513332 1765554 1891665 2522220 2648331 2942590 3531108 3783330 4413885 5296662 5885180 7566660 8827770 10593324 13241655 17655540 26483310 52966620