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480265728 = 293312673
BaseRepresentation
bin11100101000000…
…100011000000000
31020110201000201120
4130220010120000
51440422000403
6115353432240
714621122425
oct3450043000
91213630646
10480265728
11227108828
12114a0b680
1378665907
1447ad9d4c
152c26ae53
hex1ca04600

480265728 has 40 divisors (see below), whose sum is σ = 1279462008. Its totient is φ = 160088064.

The previous prime is 480265703. The next prime is 480265729. The reversal of 480265728 is 827562084.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 480265728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480265729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 154801 + ... + 157872.

Almost surely, 2480265728 is an apocalyptic number.

480265728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480265728 is an abundant number, since it is smaller than the sum of its proper divisors (799196280).

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

480265728 is an equidigital number, since it uses as much as digits as its factorization.

480265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312694 (or 312678 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 480265728 is about 21914.9658452848. The cubic root of 480265728 is about 783.1179862948.

The spelling of 480265728 in words is "four hundred eighty million, two hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 312673 625346 938019 1250692 1876038 2501384 3752076 5002768 7504152 10005536 15008304 20011072 30016608 40022144 60033216 80044288 120066432 160088576 240132864 480265728