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385885944 = 2336127521
BaseRepresentation
bin10111000000000…
…010011011111000
3222220010001000000
4113000002123320
51242241322234
6102142513000
712363655623
oct2700023370
9886101000
10385885944
11188905904
12a9295760
1361c3c2a2
143936cdba
1523d26899
hex170026f8

385885944 has 112 divisors (see below), whose sum is σ = 1095448320. Its totient is φ = 127370880.

The previous prime is 385885943. The next prime is 385886003. The reversal of 385885944 is 449588583.

385885944 is a `hidden beast` number, since 3 + 8 + 588 + 59 + 4 + 4 = 666.

It is a super-2 number, since 2×3858859442 = 297815923553542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385885943) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 740404 + ... + 740924.

Almost surely, 2385885944 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 385885944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547724160).

385885944 is an abundant number, since it is smaller than the sum of its proper divisors (709562376).

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

385885944 is a wasteful number, since it uses less digits than its factorization.

385885944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 385885944 is about 19643.9798411625. The cubic root of 385885944 is about 728.0362206750.

The spelling of 385885944 in words is "three hundred eighty-five million, eight hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 243 254 324 381 486 508 521 648 729 762 972 1016 1042 1143 1458 1524 1563 1944 2084 2286 2916 3048 3126 3429 4168 4572 4689 5832 6252 6858 9144 9378 10287 12504 13716 14067 18756 20574 27432 28134 30861 37512 41148 42201 56268 61722 66167 82296 84402 92583 112536 123444 126603 132334 168804 185166 198501 246888 253206 264668 337608 370332 379809 397002 506412 529336 595503 740664 759618 794004 1012824 1191006 1519236 1588008 1786509 2382012 3038472 3573018 4764024 5359527 7146036 10719054 14292072 16078581 21438108 32157162 42876216 48235743 64314324 96471486 128628648 192942972 385885944