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164029264 = 2472209221
BaseRepresentation
bin10011100011011…
…10001101010000
3102102122112211221
421301232031100
5313442414024
624135414424
74031140300
oct1161561520
9372575757
10164029264
1184654683
1246b24414
1327ca1749
1417adb600
15e6013e4
hex9c6e350

164029264 has 30 divisors (see below), whose sum is σ = 369695274. Its totient is φ = 70297920.

The previous prime is 164029247. The next prime is 164029267. The reversal of 164029264 is 462920461.

It can be written as a sum of positive squares in only one way, i.e., 119246400 + 44782864 = 10920^2 + 6692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164029267) 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 5 ways as a sum of consecutive naturals, for example, 103827 + ... + 105394.

Almost surely, 2164029264 is an apocalyptic number.

164029264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164029264 is an abundant number, since it is smaller than the sum of its proper divisors (205666010).

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

164029264 is a wasteful number, since it uses less digits than its factorization.

164029264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209243 (or 209230 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 164029264 is about 12807.3909911426. The cubic root of 164029264 is about 547.4029229550.

The spelling of 164029264 in words is "one hundred sixty-four million, twenty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 209221 418442 836884 1464547 1673768 2929094 3347536 5858188 10251829 11716376 20503658 23432752 41007316 82014632 164029264