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495738516 = 223713247743
BaseRepresentation
bin11101100011000…
…101111010010100
31021112211010101210
4131203011322110
52003402113031
6121105221420
715166464540
oct3543057224
91245733353
10495738516
11234916759
1211a031870
137b922500
1449ba6a20
152d7c5746
hex1d8c5e94

495738516 has 144 divisors (see below), whose sum is σ = 1463906304. Its totient is φ = 127790208.

The previous prime is 495738511. The next prime is 495738541. The reversal of 495738516 is 615837594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495738511) 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, 666841 + ... + 667583.

It is an arithmetic number, because the mean of its divisors is an integer number (10166016).

Almost surely, 2495738516 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 495738516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731953152).

495738516 is an abundant number, since it is smaller than the sum of its proper divisors (968167788).

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

495738516 is a wasteful number, since it uses less digits than its factorization.

495738516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 815 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 495738516 is about 22265.1861883075. The cubic root of 495738516 is about 791.4391946177.

The spelling of 495738516 in words is "four hundred ninety-five million, seven hundred thirty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 52 78 84 91 94 141 156 169 182 188 273 282 329 338 364 507 546 564 611 658 676 743 987 1014 1092 1183 1222 1316 1486 1833 1974 2028 2229 2366 2444 2972 3549 3666 3948 4277 4458 4732 5201 7098 7332 7943 8554 8916 9659 10402 12831 14196 15603 15886 17108 19318 20804 23829 25662 28977 31206 31772 34921 38636 47658 51324 55601 57954 62412 67613 69842 95316 104763 111202 115908 125567 135226 139684 166803 202839 209526 222404 244447 251134 270452 333606 376701 405678 419052 453973 488894 502268 667212 733341 753402 811356 878969 907946 977788 1361919 1466682 1506804 1757938 1815892 2636907 2723838 2933364 3177811 3515876 5273814 5447676 5901649 6355622 9533433 10547628 11803298 12711244 17704947 19066866 23606596 35409894 38133732 41311543 70819788 82623086 123934629 165246172 247869258 495738516