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495257490 = 23457136719
BaseRepresentation
bin11101100001010…
…000011110010010
31021111220200120000
4131201100132102
52003241214430
6121051030430
715162422250
oct3541203622
91244820500
10495257490
11234618312
12119a3b416
137b7b4590
1449abd5d0
152d72ce60
hex1d850792

495257490 has 160 divisors (see below), whose sum is σ = 1639249920. Its totient is φ = 104478336.

The previous prime is 495257479. The next prime is 495257513. The reversal of 495257490 is 94752594.

495257490 is a `hidden beast` number, since 495 + 2 + 5 + 74 + 90 = 666.

It is a super-2 number, since 2×4952574902 = 490559962802200200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70351 + ... + 77069.

It is an arithmetic number, because the mean of its divisors is an integer number (10245312).

Almost surely, 2495257490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495257490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819624960).

495257490 is an abundant number, since it is smaller than the sum of its proper divisors (1143992430).

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

495257490 is a wasteful number, since it uses less digits than its factorization.

495257490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 495257490 is about 22254.3813663737. The cubic root of 495257490 is about 791.1831281506.

The spelling of 495257490 in words is "four hundred ninety-five million, two hundred fifty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 910 945 1053 1134 1170 1365 1638 1755 1890 2106 2457 2730 2835 3510 4095 4914 5265 5670 6719 7371 8190 10530 12285 13438 14742 20157 24570 33595 36855 40314 47033 60471 67190 73710 87347 94066 100785 120942 141099 174694 181413 201570 235165 262041 282198 302355 362826 423297 436735 470330 524082 544239 604710 611429 705495 786123 846594 873470 907065 1088478 1222858 1269891 1310205 1410990 1572246 1814130 1834287 2116485 2358369 2539782 2620410 2721195 3057145 3668574 3809673 3930615 4232970 4716738 5442390 5502861 6114290 6349455 7075107 7619346 7861230 9171435 11005722 11791845 12698910 14150214 16508583 18342870 19048365 23583690 27514305 33017166 35375535 38096730 49525749 55028610 70751070 82542915 99051498 165085830 247628745 495257490