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498201816 = 23372676323
BaseRepresentation
bin11101101100011…
…111010011011000
31021201110021102010
4131230133103120
52010014424231
6121234105520
715226434300
oct3554372330
91251407363
10498201816
11236249442
1211aa1b2a0
137c2a5798
144a248600
152db10546
hex1db1f4d8

498201816 has 96 divisors (see below), whose sum is σ = 1470709440. Its totient is φ = 140196672.

The previous prime is 498201763. The next prime is 498201853. The reversal of 498201816 is 618102894.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75631 + ... + 81953.

It is an arithmetic number, because the mean of its divisors is an integer number (15319890).

Almost surely, 2498201816 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 498201816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735354720).

498201816 is an abundant number, since it is smaller than the sum of its proper divisors (972507624).

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

498201816 is a wasteful number, since it uses less digits than its factorization.

498201816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 498201816 is about 22320.4349419988. The cubic root of 498201816 is about 792.7479033515.

The spelling of 498201816 in words is "four hundred ninety-eight million, two hundred one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 67 84 98 134 147 168 196 201 268 294 392 402 469 536 588 804 938 1176 1407 1608 1876 2814 3283 3752 5628 6323 6566 9849 11256 12646 13132 18969 19698 25292 26264 37938 39396 44261 50584 75876 78792 88522 132783 151752 177044 265566 309827 354088 423641 531132 619654 847282 929481 1062264 1239308 1270923 1694564 1858962 2478616 2541846 2965487 3389128 3717924 5083692 5930974 7435848 8896461 10167384 11861948 17792922 20758409 23723896 35585844 41516818 62275227 71171688 83033636 124550454 166067272 249100908 498201816