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495871904 = 25112322663
BaseRepresentation
bin11101100011100…
…110011110100000
31021120001220101002
4131203212132200
52003420400104
6121112131132
715200561453
oct3543463640
91246056332
10495871904
112349a79a0
1211a096aa8
137b96b138
1449bdd49a
152d80001e
hex1d8e67a0

495871904 has 72 divisors (see below), whose sum is σ = 1113733152. Its totient is φ = 215515520.

The previous prime is 495871889. The next prime is 495871907. The reversal of 495871904 is 409178594.

It is not an unprimeable number, because it can be changed into a prime (495871907) 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, 184877 + ... + 187539.

It is an arithmetic number, because the mean of its divisors is an integer number (15468516).

Almost surely, 2495871904 is an apocalyptic number.

495871904 is a gapful number since it is divisible by the number (44) 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 495871904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556866576).

495871904 is an abundant number, since it is smaller than the sum of its proper divisors (617861248).

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

495871904 is a wasteful number, since it uses less digits than its factorization.

495871904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 495871904 is about 22268.1814255228. The cubic root of 495871904 is about 791.5101722406.

The spelling of 495871904 in words is "four hundred ninety-five million, eight hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 529 736 1012 1058 2024 2116 2663 4048 4232 5326 5819 8096 8464 10652 11638 16928 21304 23276 29293 42608 46552 58586 61249 85216 93104 117172 122498 186208 234344 244996 468688 489992 673739 937376 979984 1347478 1408727 1959968 2694956 2817454 5389912 5634908 10779824 11269816 15495997 21559648 22539632 30991994 45079264 61983988 123967976 247935952 495871904