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493758540 = 22325111714669
BaseRepresentation
bin11101011011100…
…010100001001100
31021102002112101100
4131123202201030
52002400233130
6120554543100
715143610162
oct3533424114
91242075340
10493758540
11233794110
12119437a90
137b3ab222
144980d232
152d533c60
hex1d6e284c

493758540 has 144 divisors (see below), whose sum is σ = 1730121120. Its totient is φ = 112650240.

The previous prime is 493758539. The next prime is 493758541. The reversal of 493758540 is 45857394.

It is an interprime number because it is at equal distance from previous prime (493758539) and next prime (493758541).

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

It is not an unprimeable number, because it can be changed into a prime (493758541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26326 + ... + 40994.

It is an arithmetic number, because the mean of its divisors is an integer number (12014730).

Almost surely, 2493758540 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 493758540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865060560).

493758540 is an abundant number, since it is smaller than the sum of its proper divisors (1236362580).

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

493758540 is a wasteful number, since it uses less digits than its factorization.

493758540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14712 (or 14707 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 493758540 is about 22220.6782074715. The cubic root of 493758540 is about 790.3841212689.

The spelling of 493758540 in words is "four hundred ninety-three million, seven hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 14669 16830 29338 33660 44007 58676 73345 88014 132021 146690 161359 176028 220035 249373 264042 293380 322718 440070 484077 498746 528084 645436 660105 748119 806795 880140 968154 997492 1246865 1320210 1452231 1496238 1613590 1936308 2244357 2420385 2493730 2640420 2743103 2904462 2992476 3227180 3740595 4488714 4840770 4987460 5486206 5808924 7261155 7481190 8229309 8977428 9681540 10972412 11221785 13715515 14522310 14962380 16458618 22443570 24687927 27431030 29044620 32917236 41146545 44887140 49375854 54862060 82293090 98751708 123439635 164586180 246879270 493758540