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166268748 = 223233119433
BaseRepresentation
bin10011110100100…
…00111101001100
3102120212022211210
421322100331030
5320031044443
624255414420
74056155352
oct1172207514
9376768753
10166268748
1185944198
1247824410
13285a6b99
14181217d2
15e8e4c33
hex9e90f4c

166268748 has 48 divisors (see below), whose sum is σ = 417908736. Its totient is φ = 51300480.

The previous prime is 166268731. The next prime is 166268749. The reversal of 166268748 is 847862661.

166268748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1662687482 = 55290593122975008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166268697 and 166268706.

It is not an unprimeable number, because it can be changed into a prime (166268749) 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, 1161 + ... + 18272.

It is an arithmetic number, because the mean of its divisors is an integer number (8706432).

Almost surely, 2166268748 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 166268748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208954368).

166268748 is an abundant number, since it is smaller than the sum of its proper divisors (251639988).

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

166268748 is a wasteful number, since it uses less digits than its factorization.

166268748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19494 (or 19492 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 166268748 is about 12894.5239539892. The cubic root of 166268748 is about 549.8828929735.

The spelling of 166268748 in words is "one hundred sixty-six million, two hundred sixty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 4278 8556 19433 38866 58299 77732 116598 233196 446959 602423 893918 1204846 1340877 1787836 1807269 2409692 2681754 3614538 5363508 7229076 13855729 27711458 41567187 55422916 83134374 166268748