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497796992 = 27711172971
BaseRepresentation
bin11101101010111…
…100011110000000
31021200200201002122
4131222330132000
52004414000432
6121221303412
715223130120
oct3552743600
91250621078
10497796992
11235aa2280
1211a864b68
137c193444
144a180c80
152da80612
hex1dabc780

497796992 has 128 divisors (see below), whose sum is σ = 1309582080. Its totient is φ = 182476800.

The previous prime is 497796991. The next prime is 497797007. The reversal of 497796992 is 299697794.

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 not an unprimeable number, because it can be changed into a prime (497796991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166067 + ... + 169037.

It is an arithmetic number, because the mean of its divisors is an integer number (10231110).

Almost surely, 2497796992 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 497796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654791040).

497796992 is an abundant number, since it is smaller than the sum of its proper divisors (811785088).

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

497796992 is a wasteful number, since it uses less digits than its factorization.

497796992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3008 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 62.

The square root of 497796992 is about 22311.3646377805. The cubic root of 497796992 is about 792.5331240322.

The spelling of 497796992 in words is "four hundred ninety-seven million, seven hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 896 952 1088 1232 1309 1408 1496 1904 2176 2464 2618 2971 2992 3808 4928 5236 5942 5984 7616 9856 10472 11884 11968 15232 20797 20944 23768 23936 32681 41594 41888 47536 50507 65362 83188 83776 95072 101014 130724 166376 167552 190144 202028 228767 261448 332752 353549 380288 404056 457534 522896 555577 665504 707098 808112 915068 1045792 1111154 1331008 1414196 1616224 1830136 2091584 2222308 2662016 2828392 3232448 3660272 3889039 4183168 4444616 5656784 6464896 7320544 7778078 8889232 11313568 14641088 15556156 17778464 22627136 29282176 31112312 35556928 45254272 62224624 71113856 124449248 248898496 497796992