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487310080 = 2853112281
BaseRepresentation
bin11101000010111…
…100001100000000
31020221221220202111
4131002330030000
51444222410310
6120204425104
715035032045
oct3502741400
91227856674
10487310080
1123008a304
12117248194
1379c6107a
1448a111cc
152cbad28a
hex1d0bc300

487310080 has 72 divisors (see below), whose sum is σ = 1205011584. Its totient is φ = 188620800.

The previous prime is 487310077. The next prime is 487310093. The reversal of 487310080 is 80013784.

It is a happy number.

It is a super-2 number, since 2×4873100802 = 474942228139212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33540 + ... + 45820.

It is an arithmetic number, because the mean of its divisors is an integer number (16736272).

Almost surely, 2487310080 is an apocalyptic number.

487310080 is a gapful number since it is divisible by the number (40) 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 487310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602505792).

487310080 is an abundant number, since it is smaller than the sum of its proper divisors (717701504).

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

487310080 is a wasteful number, since it uses less digits than its factorization.

487310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333 (or 12319 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 487310080 is about 22075.1009057716. The cubic root of 487310080 is about 786.9282413999.

The spelling of 487310080 in words is "four hundred eighty-seven million, three hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 992 1240 1280 1984 2480 3968 4960 7936 9920 12281 19840 24562 39680 49124 61405 98248 122810 196496 245620 380711 392992 491240 761422 785984 982480 1522844 1571968 1903555 1964960 3045688 3143936 3807110 3929920 6091376 7614220 7859840 12182752 15228440 15719680 24365504 30456880 48731008 60913760 97462016 121827520 243655040 487310080