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495066816 = 26310131
BaseRepresentation
bin11101100000100…
…001111011000000
31021111120000000000
4131200201323000
52003214114231
6121043000000
715160666326
oct3540417300
91244500000
10495066816
112344a8032
12119969000
137b74885a
1449a6dd16
152d6e16e6
hex1d821ec0

495066816 has 154 divisors (see below), whose sum is σ = 1484837772. Its totient is φ = 163762560.

The previous prime is 495066811. The next prime is 495066821. The reversal of 495066816 is 618660594.

It is an interprime number because it is at equal distance from previous prime (495066811) and next prime (495066821).

It is not an unprimeable number, because it can be changed into a prime (495066811) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 3779071 + ... + 3779201.

Almost surely, 2495066816 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 495066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742418886).

495066816 is an abundant number, since it is smaller than the sum of its proper divisors (989770956).

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

495066816 is an frugal number, since it uses more digits than its factorization.

495066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 495066816 is about 22250.0969885527. The cubic root of 495066816 is about 791.0815800205.

The spelling of 495066816 in words is "four hundred ninety-five million, sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 131 144 162 192 216 243 262 288 324 393 432 486 524 576 648 729 786 864 972 1048 1179 1296 1458 1572 1728 1944 2096 2187 2358 2592 2916 3144 3537 3888 4192 4374 4716 5184 5832 6288 6561 7074 7776 8384 8748 9432 10611 11664 12576 13122 14148 15552 17496 18864 19683 21222 23328 25152 26244 28296 31833 34992 37728 39366 42444 46656 52488 56592 59049 63666 69984 75456 78732 84888 95499 104976 113184 118098 127332 139968 157464 169776 190998 209952 226368 236196 254664 286497 314928 339552 381996 419904 472392 509328 572994 629856 679104 763992 859491 944784 1018656 1145988 1259712 1527984 1718982 1889568 2037312 2291976 2578473 3055968 3437964 3779136 4583952 5156946 6111936 6875928 7735419 9167904 10313892 13751856 15470838 18335808 20627784 27503712 30941676 41255568 55007424 61883352 82511136 123766704 165022272 247533408 495066816