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495959808 = 2833311951
BaseRepresentation
bin11101100011111…
…011111100000000
31021120020100221210
4131203323330000
52003431203213
6121114050120
715201405651
oct3543737400
91246210853
10495959808
11234a57a43
1211a119940
137b99c156
1449c23528
152d81b0c3
hex1d8fbf00

495959808 has 72 divisors (see below), whose sum is σ = 1324642816. Its totient is φ = 164736000.

The previous prime is 495959771. The next prime is 495959809. The reversal of 495959808 is 808959594.

It is a super-2 number, since 2×4959598082 = 491952262302793728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495959809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253233 + ... + 255183.

Almost surely, 2495959808 is an apocalyptic number.

495959808 is a gapful number since it is divisible by the number (48) 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 495959808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662321408).

495959808 is an abundant number, since it is smaller than the sum of its proper divisors (828683008).

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

495959808 is a wasteful number, since it uses less digits than its factorization.

495959808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The square root of 495959808 is about 22270.1550960024. The cubic root of 495959808 is about 791.5569402322.

The spelling of 495959808 in words is "four hundred ninety-five million, nine hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 331 384 662 768 993 1324 1951 1986 2648 3902 3972 5296 5853 7804 7944 10592 11706 15608 15888 21184 23412 31216 31776 42368 46824 62432 63552 84736 93648 124864 127104 187296 249728 254208 374592 499456 645781 749184 1291562 1498368 1937343 2583124 3874686 5166248 7749372 10332496 15498744 20664992 30997488 41329984 61994976 82659968 123989952 165319936 247979904 495959808