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494310528 = 27323711597
BaseRepresentation
bin11101011101101…
…001010010000000
31021110010120120100
4131131221102000
52003020414103
6121014442400
715151366365
oct3535512200
91243116510
10494310528
112340308a8
12119663400
137b54254a
144991446c
152d5e25a3
hex1d769480

494310528 has 96 divisors (see below), whose sum is σ = 1461000060. Its totient is φ = 160303104.

The previous prime is 494310527. The next prime is 494310529. The reversal of 494310528 is 825013494.

It is an interprime number because it is at equal distance from previous prime (494310527) and next prime (494310529).

It can be written as a sum of positive squares in 2 ways, for example, as 403527744 + 90782784 = 20088^2 + 9528^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 494310492 and 494310501.

It is not an unprimeable number, because it can be changed into a prime (494310527) 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, 36826 + ... + 48422.

Almost surely, 2494310528 is an apocalyptic number.

494310528 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 494310528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730500030).

494310528 is an abundant number, since it is smaller than the sum of its proper divisors (966689532).

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

494310528 is a wasteful number, since it uses less digits than its factorization.

494310528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11654 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 494310528 is about 22233.0953310600. The cubic root of 494310528 is about 790.6785432303.

The spelling of 494310528 in words is "four hundred ninety-four million, three hundred ten thousand, five hundred twenty-eight".

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 11597 14208 21312 23194 34791 42624 46388 69582 92776 104373 139164 185552 208746 278328 371104 417492 429089 556656 742208 834984 858178 1113312 1287267 1484416 1669968 1716356 2226624 2574534 3339936 3432712 3861801 4453248 5149068 6679872 6865424 7723602 10298136 13359744 13730848 15447204 20596272 27461696 30894408 41192544 54923392 61788816 82385088 123577632 164770176 247155264 494310528