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495316096 = 2711617379
BaseRepresentation
bin11101100001011…
…110110010000000
31021112000122221121
4131201132302000
52003300103341
6121052202024
715163055152
oct3541366200
91245018847
10495316096
11234658350
12119a69314
137b805162
1449ad6ad2
152d7404d1
hex1d85ec80

495316096 has 128 divisors (see below), whose sum is σ = 1123142400. Its totient is φ = 215654400.

The previous prime is 495316079. The next prime is 495316123. The reversal of 495316096 is 690613594.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 6269785 + ... + 6269863.

It is an arithmetic number, because the mean of its divisors is an integer number (8774550).

Almost surely, 2495316096 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 495316096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561571200).

495316096 is an abundant number, since it is smaller than the sum of its proper divisors (627826304).

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

495316096 is a wasteful number, since it uses less digits than its factorization.

495316096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 495316096 is about 22255.6980569022. The cubic root of 495316096 is about 791.2143349810.

The spelling of 495316096 in words is "four hundred ninety-five million, three hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 73 79 88 122 128 146 158 176 244 292 316 352 488 584 632 671 704 803 869 976 1168 1264 1342 1408 1606 1738 1952 2336 2528 2684 3212 3476 3904 4453 4672 4819 5056 5368 5767 6424 6952 7808 8906 9344 9638 10112 10736 11534 12848 13904 17812 19276 21472 23068 25696 27808 35624 38552 42944 46136 48983 51392 53009 55616 63437 71248 77104 85888 92272 97966 102784 106018 111232 126874 142496 154208 184544 195932 212036 253748 284992 308416 351787 369088 391864 424072 507496 569984 616832 703574 738176 783728 848144 1014992 1407148 1567456 1696288 2029984 2814296 3134912 3392576 3869657 4059968 5628592 6269824 6785152 7739314 8119936 11257184 15478628 22514368 30957256 45028736 61914512 123829024 247658048 495316096