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484853248 = 29111923197
BaseRepresentation
bin11100111001100…
…100011000000000
31020210100002121201
4130321210120000
51443110300443
6120040030544
715005120215
oct3471443000
91223302551
10484853248
11229761470
12116462454
13795b0a19
1448571b0c
152c87534d
hex1ce64600

484853248 has 160 divisors (see below), whose sum is σ = 1166711040. Its totient is φ = 198696960.

The previous prime is 484853219. The next prime is 484853261. The reversal of 484853248 is 842358484.

It is a super-2 number, since 2×4848532482 = 470165344192299008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 484853198 and 484853207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2461086 + ... + 2461282.

It is an arithmetic number, because the mean of its divisors is an integer number (7291944).

Almost surely, 2484853248 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 484853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583355520).

484853248 is an abundant number, since it is smaller than the sum of its proper divisors (681857792).

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

484853248 is a wasteful number, since it uses less digits than its factorization.

484853248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its digits is 983040, while the sum is 46.

The square root of 484853248 is about 22019.3834609419. The cubic root of 484853248 is about 785.6035484456.

The spelling of 484853248 in words is "four hundred eighty-four million, eight hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 64 76 88 92 128 152 176 184 197 209 253 256 304 352 368 394 418 437 506 512 608 704 736 788 836 874 1012 1216 1408 1472 1576 1672 1748 2024 2167 2432 2816 2944 3152 3344 3496 3743 4048 4334 4531 4807 4864 5632 5888 6304 6688 6992 7486 8096 8668 9062 9614 9728 11776 12608 13376 13984 14972 16192 17336 18124 19228 25216 26752 27968 29944 32384 34672 36248 38456 41173 49841 50432 53504 55936 59888 64768 69344 72496 76912 82346 86089 99682 100864 107008 111872 119776 129536 138688 144992 153824 164692 172178 199364 223744 239552 277376 289984 307648 329384 344356 398728 479104 554752 579968 615296 658768 688712 797456 946979 958208 1109504 1159936 1230592 1317536 1377424 1594912 1893958 1916416 2319872 2461184 2635072 2754848 3189824 3787916 5270144 5509696 6379648 7575832 10540288 11019392 12759296 15151664 21080576 22038784 25518592 30303328 44077568 60606656 121213312 242426624 484853248