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385167848 = 231319421463
BaseRepresentation
bin10110111101010…
…011000111101000
3222211202112221212
4112331103013220
51242100332343
6102115252252
712354605222
oct2675230750
9884675855
10385167848
1118846533a
12a8baa088
1361a4a490
1439223412
1523c33c18
hex16f531e8

385167848 has 64 divisors (see below), whose sum is σ = 822393600. Its totient is φ = 167650560.

The previous prime is 385167841. The next prime is 385167857. The reversal of 385167848 is 848761583.

It is a super-2 number, since 2×3851678482 = 296708542265902208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385167796 and 385167805.

It is not an unprimeable number, because it can be changed into a prime (385167841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831665 + ... + 832127.

It is an arithmetic number, because the mean of its divisors is an integer number (12849900).

Almost surely, 2385167848 is an apocalyptic number.

385167848 is a gapful number since it is divisible by the number (38) 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 385167848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411196800).

385167848 is an abundant number, since it is smaller than the sum of its proper divisors (437225752).

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

385167848 is a wasteful number, since it uses less digits than its factorization.

385167848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 50.

The square root of 385167848 is about 19625.6935673621. The cubic root of 385167848 is about 727.5843388561.

It can be divided in two parts, 38516 and 7848, that added together give a palindrome (46364).

The spelling of 385167848 in words is "three hundred eighty-five million, one hundred sixty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 421 463 494 842 926 988 1684 1852 1976 3368 3704 5473 6019 7999 8797 10946 12038 15998 17594 21892 24076 31996 35188 43784 48152 63992 70376 103987 114361 194923 207974 228722 389846 415948 457444 779692 831896 914888 1559384 2533999 3703537 5067998 7407074 10135996 14814148 20271992 29628296 48145981 96291962 192583924 385167848