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164066252 = 22717794363
BaseRepresentation
bin10011100011101…
…11001111001100
3102102201102120212
421301313033030
5314000110002
624140301552
74031353160
oct1161671714
9372642525
10164066252
118467a449
1246b418b8
1327cb552c
1417b0aca0
15e60c352
hex9c773cc

164066252 has 48 divisors (see below), whose sum is σ = 351912960. Its totient is φ = 65325312.

The previous prime is 164066233. The next prime is 164066261. The reversal of 164066252 is 252660461.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35423 + ... + 39785.

It is an arithmetic number, because the mean of its divisors is an integer number (7331520).

Almost surely, 2164066252 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 164066252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175956480).

164066252 is an abundant number, since it is smaller than the sum of its proper divisors (187846708).

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

164066252 is a wasteful number, since it uses less digits than its factorization.

164066252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 164066252 is about 12808.8349196951. The cubic root of 164066252 is about 547.4440656493. Note that the first 3 decimals are identical.

The spelling of 164066252 in words is "one hundred sixty-four million, sixty-six thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 68 79 119 158 238 316 476 553 1106 1343 2212 2686 4363 5372 8726 9401 17452 18802 30541 37604 61082 74171 122164 148342 296684 344677 519197 689354 1038394 1378708 2076788 2412739 4825478 5859509 9650956 11719018 23438036 41016563 82033126 164066252