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29630286 = 2347172953
BaseRepresentation
bin111000100000…
…1111101001110
32001202101010000
41301001331032
530041132121
62535025130
7506565450
oct161017516
961671100
1029630286
11157a8744
129b0b1a6
1361a591a
143d142d0
152904526
hex1c41f4e

29630286 has 160 divisors (see below), whose sum is σ = 84680640. Its totient is φ = 7547904.

The previous prime is 29630273. The next prime is 29630297. The reversal of 29630286 is 68203692.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 29630286.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 559036 + ... + 559088.

It is an arithmetic number, because the mean of its divisors is an integer number (529254).

Almost surely, 229630286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29630286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42340320).

29630286 is an abundant number, since it is smaller than the sum of its proper divisors (55050354).

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

29630286 is a wasteful number, since it uses less digits than its factorization.

29630286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 29630286 is about 5443.3708306526. The cubic root of 29630286 is about 309.4415405083.

The spelling of 29630286 in words is "twenty-nine million, six hundred thirty thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 29 34 42 51 53 54 58 63 81 87 102 106 119 126 153 159 162 174 189 203 238 261 306 318 357 371 378 406 459 477 493 522 567 609 714 742 783 901 918 954 986 1071 1113 1134 1218 1377 1431 1479 1537 1566 1802 1827 2142 2226 2349 2703 2754 2862 2958 3074 3213 3339 3451 3654 4293 4437 4611 4698 5406 5481 6307 6426 6678 6902 8109 8586 8874 9222 9639 10017 10353 10759 10962 12614 13311 13833 16218 16443 18921 19278 20034 20706 21518 24327 26129 26622 27666 30051 31059 32277 32886 37842 39933 41499 48654 52258 56763 60102 62118 64554 72981 78387 79866 82998 93177 96831 113526 124497 145962 156774 170289 182903 186354 193662 235161 248994 279531 290493 340578 365806 470322 510867 548709 559062 580986 705483 871479 1021734 1097418 1410966 1646127 1742958 2116449 3292254 4232898 4938381 9876762 14815143 29630286