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385852608 = 26321935257
BaseRepresentation
bin10110111111111…
…010010011000000
3222220001100021100
4112333322103000
51242234240413
6102142054400
712363456501
oct2677722300
9886040240
10385852608
11188892859
12a927a400
1361c2a06b
1439360ba8
1523d1ba73
hex16ffa4c0

385852608 has 84 divisors (see below), whose sum is σ = 1164219160. Its totient is φ = 121844736.

The previous prime is 385852591. The next prime is 385852609. The reversal of 385852608 is 806258583.

It is a happy number.

385852608 is a `hidden beast` number, since 3 + 8 + 585 + 2 + 60 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (385852609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6685 + ... + 28572.

Almost surely, 2385852608 is an apocalyptic number.

385852608 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

385852608 is an abundant number, since it is smaller than the sum of its proper divisors (778366552).

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

385852608 is a wasteful number, since it uses less digits than its factorization.

385852608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35294 (or 35281 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 385852608 is about 19643.1313186060. The cubic root of 385852608 is about 728.0152554868.

The spelling of 385852608 in words is "three hundred eighty-five million, eight hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 35257 70514 105771 141028 211542 282056 317313 423084 564112 634626 669883 846168 1128224 1269252 1339766 1692336 2009649 2256448 2538504 2679532 3384672 4019298 5077008 5359064 6028947 6769344 8038596 10154016 10718128 12057894 16077192 20308032 21436256 24115788 32154384 42872512 48231576 64308768 96463152 128617536 192926304 385852608