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52153020 = 223252997103
BaseRepresentation
bin1100011011110…
…0101010111100
310122010122111100
43012330222330
5101322344040
65101453100
71202202423
oct306745274
9118118440
1052153020
1127491377
1215571190
13aa6039a
146cd82ba
1548a2b30
hex31bcabc

52153020 has 144 divisors (see below), whose sum is σ = 166944960. Its totient is φ = 13160448.

The previous prime is 52153019. The next prime is 52153051. The reversal of 52153020 is 2035125.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52152984 and 52153002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506289 + ... + 506391.

It is an arithmetic number, because the mean of its divisors is an integer number (1159340).

Almost surely, 252153020 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 52153020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83472480).

52153020 is an abundant number, since it is smaller than the sum of its proper divisors (114791940).

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

52153020 is a wasteful number, since it uses less digits than its factorization.

52153020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52153020 is about 7221.7047848829. The cubic root of 52153020 is about 373.6168782028.

Adding to 52153020 its reverse (2035125), we get a palindrome (54188145).

The spelling of 52153020 in words is "fifty-two million, one hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 97 103 116 145 174 180 194 206 261 290 291 309 348 388 412 435 485 515 522 580 582 618 870 873 927 970 1030 1044 1164 1236 1305 1455 1545 1740 1746 1854 1940 2060 2610 2813 2910 2987 3090 3492 3708 4365 4635 5220 5626 5820 5974 6180 8439 8730 8961 9270 9991 11252 11948 14065 14935 16878 17460 17922 18540 19982 25317 26883 28130 29870 29973 33756 35844 39964 42195 44805 49955 50634 53766 56260 59740 59946 84390 89610 89919 99910 101268 107532 119892 126585 134415 149865 168780 179220 179838 199820 253170 268830 289739 299730 359676 449595 506340 537660 579478 599460 869217 899190 1158956 1448695 1738434 1798380 2607651 2897390 3476868 4346085 5215302 5794780 8692170 10430604 13038255 17384340 26076510 52153020