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495010944 = 2732597283
BaseRepresentation
bin11101100000010…
…100010010000000
31021111110011100200
4131200110102000
52003210322234
6121041445200
715160344411
oct3540242200
91244404320
10495010944
1123446a05a
12119940800
137b7292ac
1449a57808
152d6ced99
hex1d814480

495010944 has 96 divisors (see below), whose sum is σ = 1448787600. Its totient is φ = 162184704.

The previous prime is 495010931. The next prime is 495010949. The reversal of 495010944 is 449010594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4950109442 = 490071669359542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 495010899 and 495010908.

It is not an unprimeable number, because it can be changed into a prime (495010949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64327 + ... + 71609.

Almost surely, 2495010944 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 495010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724393800).

495010944 is an abundant number, since it is smaller than the sum of its proper divisors (953776656).

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

495010944 is a wasteful number, since it uses less digits than its factorization.

495010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7362 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 495010944 is about 22248.8414080374. The cubic root of 495010944 is about 791.0518190728.

The spelling of 495010944 in words is "four hundred ninety-five million, ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 288 354 384 472 531 576 708 944 1062 1152 1416 1888 2124 2832 3776 4248 5664 7283 7552 8496 11328 14566 16992 21849 22656 29132 33984 43698 58264 65547 67968 87396 116528 131094 174792 233056 262188 349584 429697 466112 524376 699168 859394 932224 1048752 1289091 1398336 1718788 2097504 2578182 2796672 3437576 3867273 4195008 5156364 6875152 7734546 8390016 10312728 13750304 15469092 20625456 27500608 30938184 41250912 55001216 61876368 82501824 123752736 165003648 247505472 495010944