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316482048 = 2932173397
BaseRepresentation
bin10010110111010…
…010001000000000
3211001111221202100
4102313102020000
51122004411143
651223150400
710562024121
oct2267221000
9731457670
10316482048
11152711713
1289ba5400
135074bbac
1430064048
151cbb76d3
hex12dd2200

316482048 has 120 divisors (see below), whose sum is σ = 920982348. Its totient is φ = 104620032.

The previous prime is 316482043. The next prime is 316482073. The reversal of 316482048 is 840284613.

316482048 is a `hidden beast` number, since 3 + 1 + 648 + 2 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 283855104 + 32626944 = 16848^2 + 5712^2 .

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

It is not an unprimeable number, because it can be changed into a prime (316482043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 796986 + ... + 797382.

Almost surely, 2316482048 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 316482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460491174).

316482048 is an abundant number, since it is smaller than the sum of its proper divisors (604500300).

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

316482048 is a wasteful number, since it uses less digits than its factorization.

316482048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 316482048 is about 17789.9423270566. The cubic root of 316482048 is about 681.4746314418.

The spelling of 316482048 in words is "three hundred sixteen million, four hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 397 512 519 576 692 768 794 1038 1152 1191 1384 1536 1557 1588 2076 2304 2382 2768 3114 3176 3573 4152 4608 4764 5536 6228 6352 7146 8304 9528 11072 12456 12704 14292 16608 19056 22144 24912 25408 28584 33216 38112 44288 49824 50816 57168 66432 68681 76224 88576 99648 101632 114336 132864 137362 152448 199296 203264 206043 228672 265728 274724 304896 398592 412086 457344 549448 609792 618129 797184 824172 914688 1098896 1236258 1648344 1829376 2197792 2472516 3296688 4395584 4945032 6593376 8791168 9890064 13186752 17582336 19780128 26373504 35164672 39560256 52747008 79120512 105494016 158241024 316482048