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166561928 = 23131012157
BaseRepresentation
bin10011110110110…
…00100010001000
3102121102020000022
421323120202020
5320114440203
624310000012
74061516201
oct1173304210
9377366008
10166561928
1186024495
1247946008
132867a470
141819a5a8
15e951a38
hex9ed8888

166561928 has 48 divisors (see below), whose sum is σ = 341853540. Its totient is φ = 75628800.

The previous prime is 166561873. The next prime is 166561939. The reversal of 166561928 is 829165661.

It can be written as a sum of positive squares in 6 ways, for example, as 128097124 + 38464804 = 11318^2 + 6202^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060826 + ... + 1060982.

Almost surely, 2166561928 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 166561928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170926770).

166561928 is an abundant number, since it is smaller than the sum of its proper divisors (175291612).

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

166561928 is a wasteful number, since it uses less digits than its factorization.

166561928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 273 counting only the distinct ones).

The product of its digits is 155520, while the sum is 44.

The square root of 166561928 is about 12905.8873387303. The cubic root of 166561928 is about 550.2059041730.

The spelling of 166561928 in words is "one hundred sixty-six million, five hundred sixty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 101 104 157 202 314 404 628 808 1256 1313 2041 2626 4082 5252 8164 10201 10504 15857 16328 20402 31714 40804 63428 81608 126856 132613 206141 265226 412282 530452 824564 1060904 1601557 1649128 3203114 6406228 12812456 20820241 41640482 83280964 166561928