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164915088 = 243131272081
BaseRepresentation
bin10011101010001…
…10011110010000
3102111022112222020
421311012132100
5314204240323
624210411440
74041520002
oct1165063620
9374275866
10164915088
11850aa168
1247290b80
13282219c0
1417c8c372
15e728ae3
hex9d46790

164915088 has 80 divisors (see below), whose sum is σ = 462637056. Its totient is φ = 50319360.

The previous prime is 164915077. The next prime is 164915099. The reversal of 164915088 is 880519461.

It is an interprime number because it is at equal distance from previous prime (164915077) and next prime (164915099).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78208 + ... + 80288.

Almost surely, 2164915088 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 164915088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231318528).

164915088 is an abundant number, since it is smaller than the sum of its proper divisors (297721968).

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

164915088 is a wasteful number, since it uses less digits than its factorization.

164915088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 164915088 is about 12841.9269582100. The cubic root of 164915088 is about 548.3865530600.

The spelling of 164915088 in words is "one hundred sixty-four million, nine hundred fifteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 208 254 312 381 508 624 762 1016 1524 1651 2032 2081 3048 3302 4162 4953 6096 6243 6604 8324 9906 12486 13208 16648 19812 24972 26416 27053 33296 39624 49944 54106 79248 81159 99888 108212 162318 216424 264287 324636 432848 528574 649272 792861 1057148 1298544 1585722 2114296 3171444 3435731 4228592 6342888 6871462 10307193 12685776 13742924 20614386 27485848 41228772 54971696 82457544 164915088