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285001416 = 2334783757
BaseRepresentation
bin10000111111001…
…100011011001000
3201212021120110000
4100333030123020
51040430021131
644140323000
710030320630
oct2077143310
9655246400
10285001416
1113696a867
127b543460
1347078cbb
1429bcb6c0
151a049ce6
hex10fcc6c8

285001416 has 160 divisors (see below), whose sum is σ = 924517440. Its totient is φ = 80341632.

The previous prime is 285001399. The next prime is 285001421. The reversal of 285001416 is 614100582.

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

It is a self number, because there is not a number n which added to its sum of digits gives 285001416.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376110 + ... + 376866.

It is an arithmetic number, because the mean of its divisors is an integer number (5778234).

Almost surely, 2285001416 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 285001416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462258720).

285001416 is an abundant number, since it is smaller than the sum of its proper divisors (639516024).

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

285001416 is a wasteful number, since it uses less digits than its factorization.

285001416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 285001416 is about 16881.9849543826. The cubic root of 285001416 is about 658.0855264025.

Adding to 285001416 its reverse (614100582), we get a palindrome (899101998).

The spelling of 285001416 in words is "two hundred eighty-five million, one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 83 84 108 126 162 166 168 189 216 249 252 324 332 378 498 504 567 581 648 664 747 756 757 996 1134 1162 1494 1512 1514 1743 1992 2241 2268 2271 2324 2988 3028 3486 4482 4536 4542 4648 5229 5299 5976 6056 6723 6813 6972 8964 9084 10458 10598 13446 13626 13944 15687 15897 17928 18168 20439 20916 21196 26892 27252 31374 31794 40878 41832 42392 47061 47691 53784 54504 61317 62748 62831 63588 81756 94122 95382 122634 125496 125662 127176 143073 163512 188244 188493 190764 245268 251324 286146 376488 376986 381528 429219 439817 490536 502648 565479 572292 753972 858438 879634 1130958 1144584 1319451 1507944 1696437 1716876 1759268 2261916 2638902 3392874 3433752 3518536 3958353 4523832 5089311 5277804 6785748 7916706 10178622 10555608 11875059 13571496 15833412 20357244 23750118 31666824 35625177 40714488 47500236 71250354 95000472 142500708 285001416