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495036784 = 241197107271
BaseRepresentation
bin11101100000011…
…010100101110000
31021111111110210201
4131200122211300
52003212134114
6121042204544
715160512634
oct3540324560
91244443721
10495036784
11234487510
12119953754
137b737c98
1449a62dc4
152d6d7874
hex1d81a970

495036784 has 80 divisors (see below), whose sum is σ = 1070931456. Its totient is φ = 219801600.

The previous prime is 495036767. The next prime is 495036791. The reversal of 495036784 is 487630594.

It is a super-2 number, since 2×4950367842 = 490122835026125312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1826569 + ... + 1826839.

Almost surely, 2495036784 is an apocalyptic number.

495036784 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 495036784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535465728).

495036784 is an abundant number, since it is smaller than the sum of its proper divisors (575894672).

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

495036784 is a wasteful number, since it uses less digits than its factorization.

495036784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 495036784 is about 22249.4221048548. The cubic root of 495036784 is about 791.0655833633.

The spelling of 495036784 in words is "four hundred ninety-five million, thirty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 97 107 176 194 214 271 388 428 542 776 856 1067 1084 1177 1552 1712 2134 2168 2354 2981 4268 4336 4708 5962 8536 9416 10379 11924 17072 18832 20758 23848 26287 28997 41516 47696 52574 57994 83032 105148 114169 115988 166064 210296 228338 231976 289157 318967 420592 456676 463952 578314 637934 913352 1156628 1275868 1826704 2313256 2551736 2812709 4626512 5103472 5625418 11250836 22501672 30939799 45003344 61879598 123759196 247518392 495036784