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164123448 = 23379107809
BaseRepresentation
bin10011100100001…
…01001100111000
3102102211100001020
421302011030320
5314003422243
624141422440
74032012006
oct1162051470
9372740036
10164123448
1184709415
1246b6aa20
1328005588
1417b23a76
15e61e283
hex9c85338

164123448 has 64 divisors (see below), whose sum is σ = 419904000. Its totient is φ = 53444352.

The previous prime is 164123447. The next prime is 164123461. The reversal of 164123448 is 844321461.

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 (164123447) 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, 202468 + ... + 203276.

It is an arithmetic number, because the mean of its divisors is an integer number (6561000).

Almost surely, 2164123448 is an apocalyptic number.

It is an amenable number.

164123448 is an abundant number, since it is smaller than the sum of its proper divisors (255780552).

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

164123448 is a wasteful number, since it uses less digits than its factorization.

164123448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 164123448 is about 12811.0674028357. The cubic root of 164123448 is about 547.5076740444.

The spelling of 164123448 in words is "one hundred sixty-four million, one hundred twenty-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 79 107 158 214 237 316 321 428 474 632 642 809 856 948 1284 1618 1896 2427 2568 3236 4854 6472 8453 9708 16906 19416 25359 33812 50718 63911 67624 86563 101436 127822 173126 191733 202872 255644 259689 346252 383466 511288 519378 692504 766932 1038756 1533864 2077512 6838477 13676954 20515431 27353908 41030862 54707816 82061724 164123448