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499757364 = 223417412213
BaseRepresentation
bin11101110010011…
…011000100110100
31021211101022020000
4131302123010310
52010414213424
6121331311300
715245603361
oct3562330464
91254338200
10499757364
11237111117
1211b44b530
137c6cb822
144a531468
152dd1b3c9
hex1dc9b134

499757364 has 120 divisors (see below), whose sum is σ = 1417695048. Its totient is φ = 152893440.

The previous prime is 499757351. The next prime is 499757369. The reversal of 499757364 is 463757994.

It is a happy number.

499757364 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 573 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 163328400 + 336428964 = 12780^2 + 18342^2 .

It is a super-3 number, since 3×4997573643 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 499757364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499757369) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224722 + ... + 226934.

Almost surely, 2499757364 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 499757364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708847524).

499757364 is an abundant number, since it is smaller than the sum of its proper divisors (917937684).

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

499757364 is a wasteful number, since it uses less digits than its factorization.

499757364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2276 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 499757364 is about 22355.2536107287. The cubic root of 499757364 is about 793.5721183304.

The spelling of 499757364 in words is "four hundred ninety-nine million, seven hundred fifty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 81 82 102 108 123 153 162 164 204 246 306 324 369 459 492 612 697 738 918 1107 1377 1394 1476 1836 2091 2213 2214 2754 2788 3321 4182 4426 4428 5508 6273 6639 6642 8364 8852 12546 13278 13284 18819 19917 25092 26556 37621 37638 39834 56457 59751 75242 75276 79668 90733 112863 112914 119502 150484 179253 181466 225726 225828 239004 272199 338589 358506 362932 451452 544398 677178 717012 816597 1015767 1088796 1354356 1542461 1633194 2031534 2449791 3047301 3084922 3266388 4063068 4627383 4899582 6094602 6169844 7349373 9254766 9799164 12189204 13882149 14698746 18509532 27764298 29397492 41646447 55528596 83292894 124939341 166585788 249878682 499757364