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285363990 = 232523314447
BaseRepresentation
bin10001000000100…
…100111100010110
3201212221222210200
4101000210330112
51041023121430
644152201330
710033360662
oct2100447426
9655858720
10285363990
1113709820a
127b699246
1347175042
1429c838a2
151a0bc460
hex11024f16

285363990 has 96 divisors (see below), whose sum is σ = 799358976. Its totient is φ = 70424640.

The previous prime is 285363961. The next prime is 285364007. The reversal of 285363990 is 99363582.

285363990 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 639 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 61947 + ... + 66393.

It is an arithmetic number, because the mean of its divisors is an integer number (8326656).

Almost surely, 2285363990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285363990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399679488).

285363990 is an abundant number, since it is smaller than the sum of its proper divisors (513994986).

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

285363990 is a wasteful number, since it uses less digits than its factorization.

285363990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 285363990 is about 16892.7200296459. The cubic root of 285363990 is about 658.3644765840.

The spelling of 285363990 in words is "two hundred eighty-five million, three hundred sixty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 31 45 46 62 69 90 93 115 138 155 186 207 230 279 310 345 414 465 558 690 713 930 1035 1395 1426 2070 2139 2790 3565 4278 4447 6417 7130 8894 10695 12834 13341 21390 22235 26682 32085 40023 44470 64170 66705 80046 102281 133410 137857 200115 204562 275714 306843 400230 413571 511405 613686 689285 827142 920529 1022810 1240713 1378570 1534215 1841058 2067855 2481426 3068430 3170711 4135710 4602645 6203565 6341422 9205290 9512133 12407130 15853555 19024266 28536399 31707110 47560665 57072798 95121330 142681995 285363990