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1672482816 = 21234712
BaseRepresentation
bin110001110110000…
…0001000000000000
311022120001221010000
41203230001000000
511411123422231
6433543040000
756305604124
oct14354010000
94276057100
101672482816
11789089104
123a8140000
13208663704
1411c1a1584
159bc6a6e6
hex63b01000

1672482816 has 195 divisors, whose sum is σ = 5067550543. Its totient is φ = 549642240.

The previous prime is 1672482803. The next prime is 1672482817. The reversal of 1672482816 is 6182842761.

The square root of 1672482816 is 40896.

It is a perfect power (a square), and thus also a powerful number.

1672482816 is a `hidden beast` number, since 167 + 2 + 482 + 8 + 1 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1672482817) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23556061 + ... + 23556131.

Almost surely, 21672482816 is an apocalyptic number.

1672482816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1672482816 is the 40896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672482816

1672482816 is an abundant number, since it is smaller than the sum of its proper divisors (3395067727).

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

1672482816 is an frugal number, since it uses more digits than its factorization.

1672482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 76 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The cubic root of 1672482816 is about 1187.0086618260.

The spelling of 1672482816 in words is "one billion, six hundred seventy-two million, four hundred eighty-two thousand, eight hundred sixteen".