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285417704 = 231121337613
BaseRepresentation
bin10001000000110…
…010000011101000
3201220001201111002
4101000302003220
51041031331304
644153254132
710034003405
oct2100620350
9656051432
10285417704
11137124600
127b704348
1347193620
1429c992ac
151a0cd31e
hex110320e8

285417704 has 96 divisors (see below), whose sum is σ = 651662760. Its totient is φ = 116328960.

The previous prime is 285417697. The next prime is 285417707. The reversal of 285417704 is 407714582.

It can be written as a sum of positive squares in 4 ways, for example, as 160022500 + 125395204 = 12650^2 + 11198^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285417707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465302 + ... + 465914.

Almost surely, 2285417704 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 285417704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325831380).

285417704 is an abundant number, since it is smaller than the sum of its proper divisors (366245056).

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

285417704 is a wasteful number, since it uses less digits than its factorization.

285417704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

The square root of 285417704 is about 16894.3098112945. The cubic root of 285417704 is about 658.4057819252.

The spelling of 285417704 in words is "two hundred eighty-five million, four hundred seventeen thousand, seven hundred four".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 74 88 104 121 143 148 242 286 296 407 481 484 572 613 814 962 968 1144 1226 1573 1628 1924 2452 3146 3256 3848 4477 4904 5291 6292 6743 7969 8954 10582 12584 13486 15938 17908 21164 22681 26972 31876 35816 42328 45362 53944 58201 63752 74173 87659 90724 116402 148346 175318 181448 232804 249491 294853 296692 350636 465608 498982 589706 593384 701272 964249 997964 1179412 1928498 1995928 2358824 2744401 3243383 3856996 5488802 6486766 7713992 10977604 12973532 21955208 25947064 35677213 71354426 142708852 285417704