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670505472 = 2933713241
BaseRepresentation
bin100111111101110…
…001101000000000
31201201200012121000
4213331301220000
52333122133342
6150311132000
722421126310
oct4775615000
91651605530
10670505472
1131453475a
12168674000
13a8bb3500
146509b440
153dce844c
hex27f71a00

670505472 has 480 divisors, whose sum is σ = 2516088960. Its totient is φ = 172523520.

The previous prime is 670505467. The next prime is 670505519. The reversal of 670505472 is 274505076.

670505472 is a `hidden beast` number, since 67 + 0 + 50 + 547 + 2 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16353772 + ... + 16353812.

It is an arithmetic number, because the mean of its divisors is an integer number (5241852).

Almost surely, 2670505472 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 670505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258044480).

670505472 is an abundant number, since it is smaller than the sum of its proper divisors (1845583488).

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

670505472 is a wasteful number, since it uses less digits than its factorization.

670505472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 670505472 is about 25894.1204137155. The cubic root of 670505472 is about 875.2540093025.

The spelling of 670505472 in words is "six hundred seventy million, five hundred five thousand, four hundred seventy-two".