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8468480 = 2115827
BaseRepresentation
bin100000010011…
…100000000000
3120221020120102
4200103200000
54131442410
6501301532
7131660306
oct40234000
916836512
108468480
114864549
122a048a8
1319a6747
1411a6276
15b242a5
hex813800

8468480 has 48 divisors (see below), whose sum is σ = 20343960. Its totient is φ = 3383296.

The previous prime is 8468477. The next prime is 8468483. The reversal of 8468480 is 848648.

It is an interprime number because it is at equal distance from previous prime (8468477) and next prime (8468483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8468483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9827 + ... + 10653.

Almost surely, 28468480 is an apocalyptic number.

8468480 is a gapful number since it is divisible by the number (80) 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 8468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171980).

8468480 is an abundant number, since it is smaller than the sum of its proper divisors (11875480).

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

8468480 is an equidigital number, since it uses as much as digits as its factorization.

8468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 8468480 is about 2910.0652913638. The cubic root of 8468480 is about 203.8301803441.

The spelling of 8468480 in words is "eight million, four hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 827 1024 1280 1654 2048 2560 3308 4135 5120 6616 8270 10240 13232 16540 26464 33080 52928 66160 105856 132320 211712 264640 423424 529280 846848 1058560 1693696 2117120 4234240 8468480