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164057556 = 223133743661
BaseRepresentation
bin10011100011101…
…01000111010100
3102102200222122210
421301311013110
5313444320211
624140153420
74031315625
oct1161650724
9372628583
10164057556
1184673963
1246b38870
1327cb15a0
1417b07a4c
15e6099a6
hex9c751d4

164057556 has 96 divisors (see below), whose sum is σ = 433890688. Its totient is φ = 47900160.

The previous prime is 164057503. The next prime is 164057561. The reversal of 164057556 is 655750461.

164057556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247866 + ... + 248526.

Almost surely, 2164057556 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 164057556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216945344).

164057556 is an abundant number, since it is smaller than the sum of its proper divisors (269833132).

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

164057556 is a wasteful number, since it uses less digits than its factorization.

164057556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 164057556 is about 12808.4954619971. The cubic root of 164057556 is about 547.4343934231.

The spelling of 164057556 in words is "one hundred sixty-four million, fifty-seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 43 52 74 78 86 111 129 148 156 172 222 258 444 481 516 559 661 962 1118 1322 1443 1591 1677 1924 1983 2236 2644 2886 3182 3354 3966 4773 5772 6364 6708 7932 8593 9546 17186 19092 20683 24457 25779 28423 34372 41366 48914 51558 56846 62049 73371 82732 85269 97828 103116 113692 124098 146742 170538 248196 293484 317941 341076 369499 635882 738998 953823 1051651 1108497 1271764 1477996 1907646 2103302 2216994 3154953 3815292 4206604 4433988 6309906 12619812 13671463 27342926 41014389 54685852 82028778 164057556