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387073648 = 241312714653
BaseRepresentation
bin10111000100100…
…100011001110000
3222222100101020001
4113010210121300
51243042324043
6102224155344
712410033413
oct2704443160
9888311201
10387073648
11189547185
12a9768b54
1362266a80
143959bb7a
1523ead74d
hex17124670

387073648 has 40 divisors (see below), whose sum is σ = 814059008. Its totient is φ = 177230592.

The previous prime is 387073639. The next prime is 387073679. The reversal of 387073648 is 846370783.

It is a junction number, because it is equal to n+sod(n) for n = 387073598 and 387073607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19090 + ... + 33742.

Almost surely, 2387073648 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 387073648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407029504).

387073648 is an abundant number, since it is smaller than the sum of its proper divisors (426985360).

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

387073648 is a wasteful number, since it uses less digits than its factorization.

387073648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14801 (or 14795 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 387073648 is about 19674.1873529760. The cubic root of 387073648 is about 728.7823875366.

The spelling of 387073648 in words is "three hundred eighty-seven million, seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 508 1016 1651 2032 3302 6604 13208 14653 26416 29306 58612 117224 190489 234448 380978 761956 1523912 1860931 3047824 3721862 7443724 14887448 24192103 29774896 48384206 96768412 193536824 387073648