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84286488 = 233111341599
BaseRepresentation
bin1010000011000…
…01110000011000
312212121012022210
411001201300120
5133034131423
612210315120
72042265126
oct501416030
9185535283
1084286488
1143639760
1224288aa0
1314601480
14b2a0916
1575edb93
hex5061c18

84286488 has 128 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 22963200.

The previous prime is 84286487. The next prime is 84286507. The reversal of 84286488 is 88468248.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84286487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140413 + ... + 141011.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 284286488 is an apocalyptic number.

84286488 is a gapful number since it is divisible by the number (88) 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 84286488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

84286488 is an abundant number, since it is smaller than the sum of its proper divisors (169729512).

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

84286488 is a wasteful number, since it uses less digits than its factorization.

84286488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 84286488 is about 9180.7672881955. The cubic root of 84286488 is about 438.4492377921.

The spelling of 84286488 in words is "eighty-four million, two hundred eighty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 41 44 52 66 78 82 88 104 123 132 143 156 164 246 264 286 312 328 429 451 492 533 572 599 858 902 984 1066 1144 1198 1353 1599 1716 1797 1804 2132 2396 2706 3198 3432 3594 3608 4264 4792 5412 5863 6396 6589 7188 7787 10824 11726 12792 13178 14376 15574 17589 19767 23361 23452 24559 26356 31148 35178 39534 46722 46904 49118 52712 62296 70356 73677 79068 85657 93444 98236 140712 147354 158136 171314 186888 196472 256971 270149 294708 319267 342628 513942 540298 589416 638534 685256 810447 957801 1027884 1080596 1277068 1620894 1915602 2055768 2161192 2554136 3241788 3511937 3831204 6483576 7023874 7662408 10535811 14047748 21071622 28095496 42143244 84286488