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484069248 = 27321332323
BaseRepresentation
bin11100110110100…
…100111110000000
31020201212021011200
4130312210332000
51442410203443
6120011141200
714665343415
oct3466447600
91221767150
10484069248
11229276433
12116144800
1379397c10
144840a10c
152c76cdd3
hex1cda4f80

484069248 has 96 divisors (see below), whose sum is σ = 1500156840. Its totient is φ = 148939776.

The previous prime is 484069231. The next prime is 484069249. The reversal of 484069248 is 842960484.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484069249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1186 + ... + 31137.

Almost surely, 2484069248 is an apocalyptic number.

484069248 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 484069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750078420).

484069248 is an abundant number, since it is smaller than the sum of its proper divisors (1016087592).

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

484069248 is a wasteful number, since it uses less digits than its factorization.

484069248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32356 (or 32341 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 484069248 is about 22001.5737618926. The cubic root of 484069248 is about 785.1798838577.

It can be divided in two parts, 4840 and 69248, that added together give a cube (74088 = 423).

The spelling of 484069248 in words is "four hundred eighty-four million, sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 32323 64646 96969 129292 193938 258584 290907 387876 420199 517168 581814 775752 840398 1034336 1163628 1260597 1551504 1680796 2068672 2327256 2521194 3103008 3361592 3781791 4137344 4654512 5042388 6206016 6723184 7563582 9309024 10084776 12412032 13446368 15127164 18618048 20169552 26892736 30254328 37236096 40339104 53785472 60508656 80678208 121017312 161356416 242034624 484069248