Search a number
-
+
168094848 = 2733711831
BaseRepresentation
bin10100000010011…
…10110010000000
3102201022002210010
422001032302000
5321013013343
624402504520
74110532305
oct1201166200
9381262703
10168094848
1186981169
1248365140
1328a9610c
14184790ac
15eb55d33
hexa04ec80

168094848 has 64 divisors (see below), whose sum is σ = 458608320. Its totient is φ = 54512640.

The previous prime is 168094847. The next prime is 168094873. The reversal of 168094848 is 848490861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 168094797 and 168094806.

It is not an unprimeable number, because it can be changed into a prime (168094847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8293 + ... + 20123.

It is an arithmetic number, because the mean of its divisors is an integer number (7165755).

Almost surely, 2168094848 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 168094848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229304160).

168094848 is an abundant number, since it is smaller than the sum of its proper divisors (290513472).

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

168094848 is a wasteful number, since it uses less digits than its factorization.

168094848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11885 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 168094848 is about 12965.1397215765. The cubic root of 168094848 is about 551.8886563914. Note that the first 3 decimals are identical.

The spelling of 168094848 in words is "one hundred sixty-eight million, ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 11831 14208 23662 35493 47324 70986 94648 141972 189296 283944 378592 437747 567888 757184 875494 1135776 1313241 1514368 1750988 2271552 2626482 3501976 4543104 5252964 7003952 10505928 14007904 21011856 28015808 42023712 56031616 84047424 168094848