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495727380 = 223252754041
BaseRepresentation
bin11101100011000…
…011001100010100
31021112210120010100
4131203003030110
52003401234010
6121105054100
715166420221
oct3543031424
91245716110
10495727380
11234909355
1211a027330
137b91a415
1449ba2948
152d7c22c0
hex1d8c3314

495727380 has 36 divisors (see below), whose sum is σ = 1503706932. Its totient is φ = 132193920.

The previous prime is 495727373. The next prime is 495727387. The reversal of 495727380 is 83727594.

495727380 is a `hidden beast` number, since 4 + 9 + 572 + 73 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (495727373) and next prime (495727387).

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 391564944 = 10206^2 + 19788^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495727387) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1376841 + ... + 1377200.

It is an arithmetic number, because the mean of its divisors is an integer number (41769637).

Almost surely, 2495727380 is an apocalyptic number.

It is an amenable number.

495727380 is an abundant number, since it is smaller than the sum of its proper divisors (1007979552).

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

495727380 is a wasteful number, since it uses less digits than its factorization.

495727380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754056 (or 2754051 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 495727380 is about 22264.9361103956. The cubic root of 495727380 is about 791.4332684203.

The spelling of 495727380 in words is "four hundred ninety-five million, seven hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2754041 5508082 8262123 11016164 13770205 16524246 24786369 27540410 33048492 41310615 49572738 55080820 82621230 99145476 123931845 165242460 247863690 495727380