Search a number
-
+
484448440 = 235773137173
BaseRepresentation
bin11100111000000…
…001100010111000
31020202120112022211
4130320001202320
51443004322230
6120023224504
715001513060
oct3470014270
91222515284
10484448440
11229505313
121162a8134
137949b6a8
14484a83a0
152c7e542a
hex1ce018b8

484448440 has 128 divisors (see below), whose sum is σ = 1279359360. Its totient is φ = 161685504.

The previous prime is 484448401. The next prime is 484448477. The reversal of 484448440 is 44844484.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 484448393 and 484448402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2800194 + ... + 2800366.

It is an arithmetic number, because the mean of its divisors is an integer number (9994995).

Almost surely, 2484448440 is an apocalyptic number.

484448440 is a gapful number since it is divisible by the number (40) 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 484448440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639679680).

484448440 is an abundant number, since it is smaller than the sum of its proper divisors (794910920).

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

484448440 is a wasteful number, since it uses less digits than its factorization.

484448440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The square root of 484448440 is about 22010.1894585213. The cubic root of 484448440 is about 785.3848519299.

The spelling of 484448440 in words is "four hundred eighty-four million, four hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 137 140 146 173 274 280 292 346 365 511 548 584 685 692 730 865 959 1022 1096 1211 1370 1384 1460 1730 1918 2044 2422 2555 2740 2920 3460 3836 4088 4795 4844 5110 5480 6055 6920 7672 9590 9688 10001 10220 12110 12629 19180 20002 20440 23701 24220 25258 38360 40004 47402 48440 50005 50516 63145 70007 80008 88403 94804 100010 101032 118505 126290 140014 165907 176806 189608 200020 237010 252580 280028 331814 350035 353612 400040 442015 474020 505160 560056 663628 700070 707224 829535 884030 948040 1327256 1400140 1659070 1730173 1768060 2800280 3318140 3460346 3536120 6636280 6920692 8650865 12111211 13841384 17301730 24222422 34603460 48444844 60556055 69206920 96889688 121112110 242224220 484448440