Search a number
-
+
479530848 = 25347106279
BaseRepresentation
bin11100100101010…
…000111101100000
31020102022200122210
4130211100331200
51440224441343
6115330002120
714611642056
oct3445207540
91212280583
10479530848
11226756695
12114716340
1378469284
14479881d6
152c173333
hex1c950f60

479530848 has 48 divisors (see below), whose sum is σ = 1285562880. Its totient is φ = 156441216.

The previous prime is 479530837. The next prime is 479530861. The reversal of 479530848 is 848035974.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 479530797 and 479530806.

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 7 ways as a sum of consecutive naturals, for example, 48628 + ... + 57651.

It is an arithmetic number, because the mean of its divisors is an integer number (26782560).

Almost surely, 2479530848 is an apocalyptic number.

479530848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

479530848 is an abundant number, since it is smaller than the sum of its proper divisors (806032032).

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

479530848 is a wasteful number, since it uses less digits than its factorization.

479530848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106339 (or 106331 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 479530848 is about 21898.1928021469. The cubic root of 479530848 is about 782.7183523039.

The spelling of 479530848 in words is "four hundred seventy-nine million, five hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 106279 212558 318837 425116 637674 850232 1275348 1700464 2550696 3400928 4995113 5101392 9990226 10202784 14985339 19980452 29970678 39960904 59941356 79921808 119882712 159843616 239765424 479530848