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494542272 = 2637477829
BaseRepresentation
bin11101011110100…
…001110111000000
31021110120100110110
4131132201313000
52003100323042
6121023431320
715153353130
oct3536416700
91243510413
10494542272
11234179a24
12119755540
137b5c3b83
1449974ac0
152d63b09c
hex1d7a1dc0

494542272 has 112 divisors (see below), whose sum is σ = 1527413760. Its totient is φ = 138273792.

The previous prime is 494542271. The next prime is 494542289. The reversal of 494542272 is 272245494.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 494542272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494542271) 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, 59254 + ... + 67082.

Almost surely, 2494542272 is an apocalyptic number.

494542272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494542272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763706880).

494542272 is an abundant number, since it is smaller than the sum of its proper divisors (1032871488).

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

494542272 is a wasteful number, since it uses less digits than its factorization.

494542272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7898 (or 7888 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 494542272 is about 22238.3064103362. The cubic root of 494542272 is about 790.8020866107.

It can be divided in two parts, 4945422 and 72, that added together give a palindrome (4945494).

The spelling of 494542272 in words is "four hundred ninety-four million, five hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1128 1316 1344 1504 1974 2256 2632 3008 3948 4512 5264 7829 7896 9024 10528 15658 15792 21056 23487 31316 31584 46974 54803 62632 63168 93948 109606 125264 164409 187896 219212 250528 328818 367963 375792 438424 501056 657636 735926 751584 876848 1103889 1315272 1471852 1503168 1753696 2207778 2575741 2630544 2943704 3507392 4415556 5151482 5261088 5887408 7727223 8831112 10302964 10522176 11774816 15454446 17662224 20605928 23549632 30908892 35324448 41211856 61817784 70648896 82423712 123635568 164847424 247271136 494542272