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385825440 = 253571121373
BaseRepresentation
bin10110111111110…
…011101010100000
3222212222222000010
4112333303222200
51242232403230
6102141324520
712363314340
oct2677635240
9885888003
10385825440
11188874400
12a9266740
1361c1a8a0
1439354d20
1523d139b0
hex16ff3aa0

385825440 has 576 divisors, whose sum is σ = 1666683648. Its totient is φ = 72990720.

The previous prime is 385825439. The next prime is 385825441. The reversal of 385825440 is 44528583.

It is an interprime number because it is at equal distance from previous prime (385825439) and next prime (385825441).

It is a super-2 number, since 2×3858254402 = 297722540302387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (385825441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5285244 + ... + 5285316.

It is an arithmetic number, because the mean of its divisors is an integer number (2893548).

Almost surely, 2385825440 is an apocalyptic number.

385825440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833341824).

385825440 is an abundant number, since it is smaller than the sum of its proper divisors (1280858208).

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

385825440 is a wasteful number, since it uses less digits than its factorization.

385825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 385825440 is about 19642.4397669943. The cubic root of 385825440 is about 727.9981684936.

The spelling of 385825440 in words is "three hundred eighty-five million, eight hundred twenty-five thousand, four hundred forty".