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481952512 = 284094603
BaseRepresentation
bin11100101110100…
…000001100000000
31020120212201120001
4130232200030000
51441334440022
6115453525344
714641346236
oct3456401400
91216781501
10481952512
11228060068
121154a3854
1378b06602
1448018956
152c4a0b27
hex1cba0300

481952512 has 36 divisors (see below), whose sum is σ = 964584040. Its totient is φ = 240334848.

The previous prime is 481952483. The next prime is 481952539. The reversal of 481952512 is 215259184.

It is a super-3 number, since 3×4819525123 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102403 + ... + 107005.

Almost surely, 2481952512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482292020).

481952512 is an abundant number, since it is smaller than the sum of its proper divisors (482631528).

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

481952512 is an equidigital number, since it uses as much as digits as its factorization.

481952512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5014 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The square root of 481952512 is about 21953.4168638962. The cubic root of 481952512 is about 784.0337344918.

The spelling of 481952512 in words is "four hundred eighty-one million, nine hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 409 818 1636 3272 4603 6544 9206 13088 18412 26176 36824 52352 73648 104704 147296 294592 589184 1178368 1882627 3765254 7530508 15061016 30122032 60244064 120488128 240976256 481952512