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164555328 = 2637217491
BaseRepresentation
bin10011100111011…
…10101001000000
3102110122021110210
421303232221000
5314111232303
624154554120
74035461100
oct1163565100
9373567423
10164555328
1184983943
1247138940
1328127022
1417bd7200
15e6a7203
hex9ceea40

164555328 has 84 divisors (see below), whose sum is σ = 506498352. Its totient is φ = 47013120.

The previous prime is 164555327. The next prime is 164555399. The reversal of 164555328 is 823555461.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (164555327) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 663 + ... + 18153.

Almost surely, 2164555328 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 164555328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253249176).

164555328 is an abundant number, since it is smaller than the sum of its proper divisors (341943024).

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

164555328 is a wasteful number, since it uses less digits than its factorization.

164555328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17520 (or 17503 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 164555328 is about 12827.9120670513. The cubic root of 164555328 is about 547.9874968288.

The spelling of 164555328 in words is "one hundred sixty-four million, five hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 17491 34982 52473 69964 104946 122437 139928 209892 244874 279856 367311 419784 489748 559712 734622 839568 857059 979496 1119424 1469244 1679136 1714118 1958992 2571177 2938488 3358272 3428236 3917984 5142354 5876976 6856472 7835968 10284708 11753952 13712944 20569416 23507904 27425888 41138832 54851776 82277664 164555328