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497092992 = 27311137859
BaseRepresentation
bin11101101000010…
…000100110000000
31021122100221101120
4131220100212000
52004223433432
6121154232240
715214135464
oct3550204600
91248327346
10497092992
11235661360
1211a585680
137bca7b86
144a03a4a4
152d991c2c
hex1da10980

497092992 has 128 divisors (see below), whose sum is σ = 1452643200. Its totient is φ = 149360640.

The previous prime is 497092987. The next prime is 497093011. The reversal of 497092992 is 299290794.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578259 + ... + 579117.

It is an arithmetic number, because the mean of its divisors is an integer number (11348775).

Almost surely, 2497092992 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 497092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726321600).

497092992 is an abundant number, since it is smaller than the sum of its proper divisors (955550208).

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

497092992 is a wasteful number, since it uses less digits than its factorization.

497092992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 497092992 is about 22295.5823426974. The cubic root of 497092992 is about 792.1593394337.

The spelling of 497092992 in words is "four hundred ninety-seven million, ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 137 176 192 264 274 352 384 411 528 548 704 822 859 1056 1096 1408 1507 1644 1718 2112 2192 2577 3014 3288 3436 4224 4384 4521 5154 6028 6576 6872 8768 9042 9449 10308 12056 13152 13744 17536 18084 18898 20616 24112 26304 27488 28347 36168 37796 41232 48224 52608 54976 56694 72336 75592 82464 96448 109952 113388 117683 144672 151184 164928 192896 226776 235366 289344 302368 329856 353049 453552 470732 578688 604736 706098 907104 941464 1209472 1294513 1412196 1814208 1882928 2589026 2824392 3628416 3765856 3883539 5178052 5648784 7531712 7767078 10356104 11297568 15063424 15534156 20712208 22595136 31068312 41424416 45190272 62136624 82848832 124273248 165697664 248546496 497092992