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485005512 = 2331729179229
BaseRepresentation
bin11100111010001…
…001100011001000
31020210121211111010
4130322021203020
51443130134022
6120043203520
715006323145
oct3472114310
91223554433
10485005512
11229855902
121165165a0
1379635114
14485b13cc
152c8a550c
hex1ce898c8

485005512 has 128 divisors (see below), whose sum is σ = 1341360000. Its totient is φ = 145453056.

The previous prime is 485005501. The next prime is 485005519. The reversal of 485005512 is 215500584.

It is a self number, because there is not a number n which added to its sum of digits gives 485005512.

It is not an unprimeable number, because it can be changed into a prime (485005519) 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 31 ways as a sum of consecutive naturals, for example, 2117814 + ... + 2118042.

It is an arithmetic number, because the mean of its divisors is an integer number (10479375).

Almost surely, 2485005512 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 485005512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670680000).

485005512 is an abundant number, since it is smaller than the sum of its proper divisors (856354488).

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

485005512 is a wasteful number, since it uses less digits than its factorization.

485005512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 485005512 is about 22022.8406887032. The cubic root of 485005512 is about 785.6857771884.

The spelling of 485005512 in words is "four hundred eighty-five million, five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 179 204 229 232 348 358 408 458 493 537 687 696 716 916 986 1074 1374 1432 1479 1832 1972 2148 2748 2958 3043 3893 3944 4296 5191 5496 5916 6086 6641 7786 9129 10382 11679 11832 12172 13282 15572 15573 18258 19923 20764 23358 24344 26564 31144 31146 36516 39846 40991 41528 46716 53128 62292 73032 79692 81982 88247 93432 112897 122973 124584 159384 163964 176494 225794 245946 264741 327928 338691 352988 451588 491892 529482 677382 696847 705976 903176 983784 1058964 1188739 1354764 1393694 2090541 2117928 2377478 2709528 2787388 3566217 4181082 4754956 5574776 7132434 8362164 9509912 14264868 16724328 20208563 28529736 40417126 60625689 80834252 121251378 161668504 242502756 485005512