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164046544 = 2431247227
BaseRepresentation
bin10011100011100…
…10011011010000
3102102200102112221
421301302123100
5313443442134
624140030424
74031241544
oct1161623320
9372612487
10164046544
1184666662
1246b32414
1327ca957c
1417b03a24
15e6065b4
hex9c726d0

164046544 has 60 divisors (see below), whose sum is σ = 336889152. Its totient is φ = 77346240.

The previous prime is 164046539. The next prime is 164046559. The reversal of 164046544 is 445640461.

It is a super-2 number, since 2×1640465442 = 53822537196687872, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 722559 + ... + 722785.

Almost surely, 2164046544 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 164046544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168444576).

164046544 is an abundant number, since it is smaller than the sum of its proper divisors (172842608).

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

164046544 is a wasteful number, since it uses less digits than its factorization.

164046544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 164046544 is about 12808.0655838421. The cubic root of 164046544 is about 547.4221447087.

It can be divided in two parts, 1640 and 46544, that added together give a palindrome (48184).

The spelling of 164046544 in words is "one hundred sixty-four million, forty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 47 62 94 124 188 227 248 376 454 496 752 908 961 1457 1816 1922 2914 3632 3844 5828 7037 7688 10669 11656 14074 15376 21338 23312 28148 42676 45167 56296 85352 90334 112592 170704 180668 218147 330739 361336 436294 661478 722672 872588 1322956 1745176 2645912 3490352 5291824 10252909 20505818 41011636 82023272 164046544