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385448544 = 2536133141
BaseRepresentation
bin10110111110010…
…111101001100000
3222212021211000000
4112332113221200
51242133323134
6102125300000
712360154455
oct2676275140
9885254000
10385448544
11188637218
12a9104600
1361b18180
143929782c
1523c8be99
hex16f97a60

385448544 has 336 divisors, whose sum is σ = 1295650944. Its totient is φ = 111974400.

The previous prime is 385448527. The next prime is 385448549. The reversal of 385448544 is 445844583.

It is a self number, because there is not a number n which added to its sum of digits gives 385448544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385448549) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9401164 + ... + 9401204.

It is an arithmetic number, because the mean of its divisors is an integer number (3856104).

Almost surely, 2385448544 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 385448544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647825472).

385448544 is an abundant number, since it is smaller than the sum of its proper divisors (910202400).

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

385448544 is a wasteful number, since it uses less digits than its factorization.

385448544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The square root of 385448544 is about 19632.8435026616. The cubic root of 385448544 is about 727.7610414054.

The spelling of 385448544 in words is "three hundred eighty-five million, four hundred forty-eight thousand, five hundred forty-four".