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484213968 = 243273712983
BaseRepresentation
bin11100110111001…
…000010011010000
31020202010121200200
4130313020103100
51442424321333
6120014215200
714666515350
oct3467102320
91222117620
10484213968
11229365137
121161b4500
1379418a54
1448446b60
152c79ac13
hex1cdc84d0

484213968 has 120 divisors (see below), whose sum is σ = 1590695808. Its totient is φ = 134597376.

The previous prime is 484213943. The next prime is 484213979. The reversal of 484213968 is 869312484.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30805 + ... + 43787.

Almost surely, 2484213968 is an apocalyptic number.

484213968 is a gapful number since it is divisible by the number (48) 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 484213968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795347904).

484213968 is an abundant number, since it is smaller than the sum of its proper divisors (1106481840).

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

484213968 is a wasteful number, since it uses less digits than its factorization.

484213968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13041 (or 13032 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 484213968 is about 22004.8623717577. The cubic root of 484213968 is about 785.2581232909.

The spelling of 484213968 in words is "four hundred eighty-four million, two hundred thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 2072 2331 2664 3108 4144 4662 5328 6216 9324 12432 12983 18648 25966 37296 38949 51932 77898 90881 103864 116847 155796 181762 207728 233694 272643 311592 363524 467388 480371 545286 623184 727048 817929 934776 960742 1090572 1441113 1454096 1635858 1869552 1921484 2181144 2882226 3271716 3362597 3842968 4323339 4362288 5764452 6543432 6725194 7685936 8646678 10087791 11528904 13086864 13450388 17293356 20175582 23057808 26900776 30263373 34586712 40351164 53801552 60526746 69173424 80702328 121053492 161404656 242106984 484213968