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166423392 = 25325310903
BaseRepresentation
bin10011110101101…
…10101101100000
3102121011011222100
421322312231200
5320101022032
624303010400
74060401252
oct1172665540
9377134870
10166423392
1185a3a3a3
1247899a00
132862c3a5
1418161cd2
15e92597c
hex9eb6b60

166423392 has 72 divisors (see below), whose sum is σ = 482240304. Its totient is φ = 54422784.

The previous prime is 166423391. The next prime is 166423393. The reversal of 166423392 is 293324661.

166423392 is a `hidden beast` number, since 1 + 6 + 642 + 3 + 3 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (166423391) and next prime (166423393).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166423391) 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, 9813 + ... + 20715.

It is an arithmetic number, because the mean of its divisors is an integer number (6697782).

Almost surely, 2166423392 is an apocalyptic number.

166423392 is a gapful number since it is divisible by the number (12) 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 166423392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241120152).

166423392 is an abundant number, since it is smaller than the sum of its proper divisors (315816912).

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

166423392 is a wasteful number, since it uses less digits than its factorization.

166423392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10961 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 166423392 is about 12900.5190593247. The cubic root of 166423392 is about 550.0533193487.

The spelling of 166423392 in words is "one hundred sixty-six million, four hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 10903 15264 21806 32709 43612 65418 87224 98127 130836 174448 196254 261672 348896 392508 523344 577859 785016 1046688 1155718 1570032 1733577 2311436 3140064 3467154 4622872 5200731 6934308 9245744 10401462 13868616 18491488 20802924 27737232 41605848 55474464 83211696 166423392