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485654016 = 2932359233
BaseRepresentation
bin11100111100100…
…111111000000000
31020211211210001210
4130330213320000
51443311412031
6120105130120
715014663631
oct3474477000
91224753053
10485654016
1122a159061
12116789940
1379801353
14486dd888
152c982746
hex1cf27e00

485654016 has 160 divisors (see below), whose sum is σ = 1378840320. Its totient is φ = 151568384.

The previous prime is 485654009. The next prime is 485654021. The reversal of 485654016 is 610456584.

It is a happy number.

It is a super-3 number, since 3×4856540163 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2084236 + ... + 2084468.

It is an arithmetic number, because the mean of its divisors is an integer number (8617752).

Almost surely, 2485654016 is an apocalyptic number.

485654016 is a gapful number since it is divisible by the number (46) 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 485654016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689420160).

485654016 is an abundant number, since it is smaller than the sum of its proper divisors (893186304).

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

485654016 is a wasteful number, since it uses less digits than its factorization.

485654016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 485654016 is about 22037.5592114916. The cubic root of 485654016 is about 786.0358030684.

The spelling of 485654016 in words is "four hundred eighty-five million, six hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 64 69 92 96 118 128 138 177 184 192 233 236 256 276 354 368 384 466 472 512 552 699 708 736 768 932 944 1104 1357 1398 1416 1472 1536 1864 1888 2208 2714 2796 2832 2944 3728 3776 4071 4416 5359 5428 5592 5664 5888 7456 7552 8142 8832 10718 10856 11184 11328 11776 13747 14912 15104 16077 16284 17664 21436 21712 22368 22656 27494 29824 30208 32154 32568 35328 41241 42872 43424 44736 45312 54988 59648 64308 65136 82482 85744 86848 89472 90624 109976 119296 128616 130272 164964 171488 173696 178944 219952 257232 260544 316181 329928 342976 347392 357888 439904 514464 521088 632362 659856 685952 694784 879808 948543 1028928 1042176 1264724 1319712 1371904 1759616 1897086 2057856 2084352 2529448 2639424 2743808 3519232 3794172 4115712 5058896 5278848 7038464 7588344 8231424 10117792 10557696 15176688 20235584 21115392 30353376 40471168 60706752 80942336 121413504 161884672 242827008 485654016