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481471452 = 22357211919
BaseRepresentation
bin11100101100101…
…010101111011100
31020112222021200000
4130230222233130
51441224041302
6115435334300
714634303600
oct3454525734
91215867600
10481471452
112278616a0
121152b1390
1378998667
1447d31500
152c40831c
hex1cb2abdc

481471452 has 216 divisors, whose sum is σ = 1603405440. Its totient is φ = 124921440.

The previous prime is 481471439. The next prime is 481471481. The reversal of 481471452 is 254174184.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 523449 + ... + 524367.

Almost surely, 2481471452 is an apocalyptic number.

481471452 is a gapful number since it is divisible by the number (42) 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 481471452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801702720).

481471452 is an abundant number, since it is smaller than the sum of its proper divisors (1121933988).

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

481471452 is a wasteful number, since it uses less digits than its factorization.

481471452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 942 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 481471452 is about 21942.4577474813. The cubic root of 481471452 is about 783.7727870484.

The spelling of 481471452 in words is "four hundred eighty-one million, four hundred seventy-one thousand, four hundred fifty-two".