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52164630 = 23257312671
BaseRepresentation
bin1100011011111…
…1100000010110
310122011020102100
43012333200112
5101323232010
65102022530
71202251320
oct306774026
9118136370
1052164630
112749a071
1215577a46
13aa6575b
146cdc610
1548a62c0
hex31bf816

52164630 has 96 divisors (see below), whose sum is σ = 160063488. Its totient is φ = 11534400.

The previous prime is 52164617. The next prime is 52164631. The reversal of 52164630 is 3646125.

52164630 is a `hidden beast` number, since 5 + 21 + 6 + 4 + 630 = 666.

It is a super-2 number, since 2×521646302 = 5442297246073800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52164594 and 52164603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52164631) 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, 18195 + ... + 20865.

It is an arithmetic number, because the mean of its divisors is an integer number (1667328).

Almost surely, 252164630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52164630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80031744).

52164630 is an abundant number, since it is smaller than the sum of its proper divisors (107898858).

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

52164630 is a wasteful number, since it uses less digits than its factorization.

52164630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52164630 is about 7222.5085669731. The cubic root of 52164630 is about 373.6446002799.

The spelling of 52164630 in words is "fifty-two million, one hundred sixty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2671 2790 3255 3906 5342 6510 8013 9765 13355 16026 18697 19530 24039 26710 37394 40065 48078 56091 80130 82801 93485 112182 120195 165602 168273 186970 240390 248403 280455 336546 414005 496806 560910 579607 745209 828010 841365 1159214 1242015 1490418 1682730 1738821 2484030 2898035 3477642 3726045 5216463 5796070 7452090 8694105 10432926 17388210 26082315 52164630