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52506630 = 2345117183
BaseRepresentation
bin1100100001001…
…1000000000110
310122210121120000
43020103000012
5101420203010
65113222130
71205204361
oct310230006
9118717500
1052506630
1127703010
1215701946
13ab55317
146d8b0d8
1549227c0
hex3213006

52506630 has 160 divisors (see below), whose sum is σ = 158070528. Its totient is φ = 12398400.

The previous prime is 52506613. The next prime is 52506647. The reversal of 52506630 is 3660525.

52506630 is a `hidden beast` number, since 5 + 25 + 0 + 6 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (52506613) and next prime (52506647).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52506594 and 52506603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 632569 + ... + 632651.

Almost surely, 252506630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52506630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79035264).

52506630 is an abundant number, since it is smaller than the sum of its proper divisors (105563898).

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

52506630 is a wasteful number, since it uses less digits than its factorization.

52506630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 52506630 is about 7246.1458721171. The cubic root of 52506630 is about 374.4593809908.

The spelling of 52506630 in words is "fifty-two million, five hundred six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 71 81 83 90 99 110 135 142 162 165 166 198 213 249 270 297 330 355 405 415 426 495 498 594 639 710 747 781 810 830 891 913 990 1065 1245 1278 1485 1494 1562 1782 1826 1917 2130 2241 2343 2490 2739 2970 3195 3735 3834 3905 4455 4482 4565 4686 5478 5751 5893 6390 6723 7029 7470 7810 8217 8910 9130 9585 11205 11502 11715 11786 13446 13695 14058 16434 17679 19170 21087 22410 23430 24651 27390 28755 29465 33615 35145 35358 41085 42174 49302 53037 57510 58930 63261 64823 67230 70290 73953 82170 88395 105435 106074 123255 126522 129646 147906 159111 176790 194469 210870 246510 265185 316305 318222 324115 369765 388938 477333 530370 583407 632610 648230 739530 795555 954666 972345 1166814 1591110 1750221 1944690 2386665 2917035 3500442 4773330 5250663 5834070 8751105 10501326 17502210 26253315 52506630