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673481952 = 253411132379
BaseRepresentation
bin101000001001001…
…000010011100000
31201221021102120000
4220021020103200
52334402410302
6150455020000
722455334143
oct5011102340
91657242500
10673481952
11316187a60
1216966a600
13a96b6240
146563405a
153e1d531c
hex282484e0

673481952 has 480 divisors, whose sum is σ = 2458874880. Its totient is φ = 177914880.

The previous prime is 673481947. The next prime is 673481959. The reversal of 673481952 is 259184376.

It is a junction number, because it is equal to n+sod(n) for n = 673481898 and 673481907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673481959) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8525049 + ... + 8525127.

It is an arithmetic number, because the mean of its divisors is an integer number (5122656).

Almost surely, 2673481952 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 673481952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229437440).

673481952 is an abundant number, since it is smaller than the sum of its proper divisors (1785392928).

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

673481952 is a wasteful number, since it uses less digits than its factorization.

673481952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 673481952 is about 25951.5308218995. The cubic root of 673481952 is about 876.5472279818.

The spelling of 673481952 in words is "six hundred seventy-three million, four hundred eighty-one thousand, nine hundred fifty-two".