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481801248 = 25321672921
BaseRepresentation
bin11100101101111…
…011010000100000
31020120121001001200
4130231323100200
51441320114443
6115450401200
714640146235
oct3455732040
91216531050
10481801248
11227a67455
12115430200
1378a827c6
1447db978c
152c470dd3
hex1cb7b420

481801248 has 36 divisors (see below), whose sum is σ = 1370123118. Its totient is φ = 160600320.

The previous prime is 481801237. The next prime is 481801249. The reversal of 481801248 is 842108184.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 441504144 + 40297104 = 21012^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (481801249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 836173 + ... + 836748.

Almost surely, 2481801248 is an apocalyptic number.

481801248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

481801248 is an abundant number, since it is smaller than the sum of its proper divisors (888321870).

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

481801248 is a wasteful number, since it uses less digits than its factorization.

481801248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672937 (or 1672926 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 481801248 is about 21949.9714806193. The cubic root of 481801248 is about 783.9517011756.

The spelling of 481801248 in words is "four hundred eighty-one million, eight hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1672921 3345842 5018763 6691684 10037526 13383368 15056289 20075052 26766736 30112578 40150104 53533472 60225156 80300208 120450312 160600416 240900624 481801248