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484141056 = 2113711257
BaseRepresentation
bin11100110110110…
…110100000000000
31020201222220200020
4130312312200000
51442420003211
6120012453440
714666062650
oct3466664000
91221886606
10484141056
11229315383
1211617a280
13793c17c9
1448428360
152c784306
hex1cdb6800

484141056 has 96 divisors (see below), whose sum is σ = 1475248320. Its totient is φ = 138313728.

The previous prime is 484141039. The next prime is 484141067. The reversal of 484141056 is 650141484.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37380 + ... + 48636.

It is an arithmetic number, because the mean of its divisors is an integer number (15367170).

Almost surely, 2484141056 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 484141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737624160).

484141056 is an abundant number, since it is smaller than the sum of its proper divisors (991107264).

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

484141056 is a wasteful number, since it uses less digits than its factorization.

484141056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11289 (or 11269 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 484141056 is about 22003.2055846415. The cubic root of 484141056 is about 785.2187070974.

The spelling of 484141056 in words is "four hundred eighty-four million, one hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 11257 14336 21504 22514 33771 43008 45028 67542 78799 90056 135084 157598 180112 236397 270168 315196 360224 472794 540336 630392 720448 945588 1080672 1260784 1440896 1891176 2161344 2521568 2881792 3782352 4322688 5043136 5763584 7564704 8645376 10086272 11527168 15129408 17290752 20172544 23054336 30258816 34581504 40345088 60517632 69163008 80690176 121035264 161380352 242070528 484141056