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164391481 = 3137331433
BaseRepresentation
bin10011100110001…
…10101000111001
3102110022221201101
421303012220321
5314041011411
624151251401
74034206312
oct1163065071
9373287641
10164391481
1184881831
1247079b61
132809a587
1417b93609
15e6738c1
hex9cc6a39

164391481 has 16 divisors (see below), whose sum is σ = 175211008. Its totient is φ = 153964800.

The previous prime is 164391473. The next prime is 164391499. The reversal of 164391481 is 184193461.

164391481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 4-Lehmer number, since φ(164391481) divides (164391481-1)4.

It is a cyclic number.

It is not a de Polignac number, because 164391481 - 23 = 164391473 is a prime.

It is a super-2 number, since 2×1643914812 = 54049118050746722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 164391481.

It is not an unprimeable number, because it can be changed into a prime (164391431) 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, 379441 + ... + 379873.

It is an arithmetic number, because the mean of its divisors is an integer number (10950688).

It is a Poulet number, since it divides 2164391480-1.

Almost surely, 2164391481 is an apocalyptic number.

It is an amenable number.

164391481 is a deficient number, since it is larger than the sum of its proper divisors (10819527).

164391481 is a wasteful number, since it uses less digits than its factorization.

164391481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832.

The product of its digits is 20736, while the sum is 37.

The square root of 164391481 is about 12821.5241293693. The cubic root of 164391481 is about 547.8055602022.

The spelling of 164391481 in words is "one hundred sixty-four million, three hundred ninety-one thousand, four hundred eighty-one".

Divisors: 1 31 37 331 433 1147 10261 12247 13423 16021 143323 379657 496651 4443013 5302951 164391481