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497506968 = 233372931123
BaseRepresentation
bin11101101001110…
…101101010011000
31021200010222021000
4131221311222120
52004330210333
6121211145000
715220511430
oct3551655230
91250128230
10497506968
11235914392
1211a745160
137c0c142a
144a1072c0
152da24713
hex1da75a98

497506968 has 128 divisors (see below), whose sum is σ = 1586188800. Its totient is φ = 141533568.

The previous prime is 497506957. The next prime is 497506969. The reversal of 497506968 is 869605794.

497506968 is a `hidden beast` number, since 49 + 7 + 506 + 96 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497506969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442455 + ... + 443577.

It is an arithmetic number, because the mean of its divisors is an integer number (12392100).

Almost surely, 2497506968 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 497506968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793094400).

497506968 is an abundant number, since it is smaller than the sum of its proper divisors (1088681832).

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

497506968 is a wasteful number, since it uses less digits than its factorization.

497506968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 497506968 is about 22304.8642228551. The cubic root of 497506968 is about 792.3791802334.

The spelling of 497506968 in words is "four hundred ninety-seven million, five hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 293 378 504 586 756 879 1123 1172 1512 1758 2051 2246 2344 2637 3369 3516 4102 4492 5274 6153 6738 7032 7861 7911 8204 8984 10107 10548 12306 13476 15722 15822 16408 18459 20214 21096 23583 24612 26952 30321 31444 31644 36918 40428 47166 49224 55377 60642 62888 63288 70749 73836 80856 94332 110754 121284 141498 147672 188664 212247 221508 242568 282996 329039 424494 443016 565992 658078 848988 987117 1316156 1697976 1974234 2303273 2632312 2961351 3948468 4606546 5922702 6909819 7896936 8884053 9213092 11845404 13819638 17768106 18426184 20729457 23690808 27639276 35536212 41458914 55278552 62188371 71072424 82917828 124376742 165835656 248753484 497506968