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484313088 = 2113711261
BaseRepresentation
bin11100110111100…
…000100000000000
31020202022122122210
4130313200200000
51442441004323
6120020302120
715000410340
oct3467404000
91222278583
10484313088
11229422656
12116241940
1379451bbc
1448470d20
152c7ba293
hex1cde0800

484313088 has 96 divisors (see below), whose sum is σ = 1475772480. Its totient is φ = 138362880.

The previous prime is 484313077. The next prime is 484313111. The reversal of 484313088 is 880313484.

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

It is a congruent number.

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, 37378 + ... + 48638.

It is an arithmetic number, because the mean of its divisors is an integer number (15372630).

Almost surely, 2484313088 is an apocalyptic number.

484313088 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 484313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737886240).

484313088 is an abundant number, since it is smaller than the sum of its proper divisors (991459392).

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

484313088 is a wasteful number, since it uses less digits than its factorization.

484313088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11293 (or 11273 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 484313088 is about 22007.1144860020. The cubic root of 484313088 is about 785.3117011717.

The spelling of 484313088 in words is "four hundred eighty-four million, three hundred thirteen thousand, eighty-eight".

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 11261 14336 21504 22522 33783 43008 45044 67566 78827 90088 135132 157654 180176 236481 270264 315308 360352 472962 540528 630616 720704 945924 1081056 1261232 1441408 1891848 2162112 2522464 2882816 3783696 4324224 5044928 5765632 7567392 8648448 10089856 11531264 15134784 17296896 20179712 23062528 30269568 34593792 40359424 60539136 69187584 80718848 121078272 161437696 242156544 484313088