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495844992 = 27323711633
BaseRepresentation
bin11101100011011…
…111111010000000
31021120000112110100
4131203133322000
52003414014432
6121111402400
715200420136
oct3543377200
91246015410
10495844992
11234989755
1211a083400
137b95bb06
1449bd3756
152d7e707c
hex1d8dfe80

495844992 has 96 divisors (see below), whose sum is σ = 1465534980. Its totient is φ = 160800768.

The previous prime is 495844963. The next prime is 495845011. The reversal of 495844992 is 299448594.

It can be written as a sum of positive squares in 2 ways, for example, as 447068736 + 48776256 = 21144^2 + 6984^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36808 + ... + 48440.

Almost surely, 2495844992 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 495844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732767490).

495844992 is an abundant number, since it is smaller than the sum of its proper divisors (969689988).

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

495844992 is a wasteful number, since it uses less digits than its factorization.

495844992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11690 (or 11675 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 495844992 is about 22267.5771470540. The cubic root of 495844992 is about 791.4958530135.

The spelling of 495844992 in words is "four hundred ninety-five million, eight hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 7104 10656 11633 14208 21312 23266 34899 42624 46532 69798 93064 104697 139596 186128 209394 279192 372256 418788 430421 558384 744512 837576 860842 1116768 1291263 1489024 1675152 1721684 2233536 2582526 3350304 3443368 3873789 4467072 5165052 6700608 6886736 7747578 10330104 13401216 13773472 15495156 20660208 27546944 30990312 41320416 55093888 61980624 82640832 123961248 165281664 247922496 495844992