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480087288 = 233219350941
BaseRepresentation
bin11100100111011…
…000110011111000
31020110100221221200
4130213120303320
51440400243123
6115345534200
714616450252
oct3447306370
91213327850
10480087288
11226aa675a
12114944360
1378602625
1447a90cd2
152c233143
hex1c9d8cf8

480087288 has 48 divisors (see below), whose sum is σ = 1368673800. Its totient is φ = 151606080.

The previous prime is 480087287. The next prime is 480087329. The reversal of 480087288 is 882780084.

It is a super-3 number, since 3×4800872883 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480087287) 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, 174103 + ... + 176838.

Almost surely, 2480087288 is an apocalyptic number.

It is an amenable number.

480087288 is an abundant number, since it is smaller than the sum of its proper divisors (888586512).

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

480087288 is a wasteful number, since it uses less digits than its factorization.

480087288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350972 (or 350965 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 480087288 is about 21910.8942765922. The cubic root of 480087288 is about 783.0209866025.

The spelling of 480087288 in words is "four hundred eighty million, eighty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 350941 701882 1052823 1403764 2105646 2807528 3158469 4211292 6316938 6667879 8422584 12633876 13335758 20003637 25267752 26671516 40007274 53343032 60010911 80014548 120021822 160029096 240043644 480087288