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287390488 = 23721127383
BaseRepresentation
bin10001001000010…
…011101100011000
3202000202221122011
4101020103230120
51042032443423
644303435304
710056531100
oct2110235430
9660687564
10287390488
11138251800
12802b5b34
1347704558
142a250200
151a36cb0d
hex11213b18

287390488 has 144 divisors (see below), whose sum is σ = 706852440. Its totient is φ = 109105920.

The previous prime is 287390483. The next prime is 287390501. The reversal of 287390488 is 884093782.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287390483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3462495 + ... + 3462577.

Almost surely, 2287390488 is an apocalyptic number.

287390488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287390488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353426220).

287390488 is an abundant number, since it is smaller than the sum of its proper divisors (419461952).

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

287390488 is a wasteful number, since it uses less digits than its factorization.

287390488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 287390488 is about 16952.5953175318. The cubic root of 287390488 is about 659.9192493799.

The spelling of 287390488 in words is "two hundred eighty-seven million, three hundred ninety thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 73 77 83 88 98 121 146 154 166 196 242 292 308 332 392 484 511 539 581 584 616 664 803 847 913 968 1022 1078 1162 1606 1694 1826 2044 2156 2324 3212 3388 3577 3652 4067 4088 4312 4648 5621 5929 6059 6391 6424 6776 7154 7304 8134 8833 10043 11242 11858 12118 12782 14308 16268 17666 20086 22484 23716 24236 25564 28616 32536 35332 39347 40172 42413 44737 44968 47432 48472 51128 61831 66649 70301 70664 78694 80344 84826 89474 123662 133298 140602 157388 169652 178948 247324 266596 281204 296891 314776 339304 357896 432817 466543 492107 494648 533192 562408 593782 733139 865634 933086 984214 1187564 1466278 1731268 1866172 1968428 2375128 2932556 3265801 3462536 3732344 3936856 5131973 5865112 6531602 10263946 13063204 20527892 26126408 35923811 41055784 71847622 143695244 287390488