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164555424 = 253211127409
BaseRepresentation
bin10011100111011…
…10101010100000
3102110122021121100
421303232222200
5314111233144
624154554400
74035461265
oct1163565240
9373567540
10164555424
1184983a20
1247138a00
1328127097
1417bd726c
15e6a7269
hex9ceeaa0

164555424 has 144 divisors (see below), whose sum is σ = 515773440. Its totient is φ = 49351680.

The previous prime is 164555401. The next prime is 164555437. The reversal of 164555424 is 424555461.

164555424 is a `hidden beast` number, since 1 + 64 + 55 + 542 + 4 = 666.

164555424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402132 + ... + 402540.

It is an arithmetic number, because the mean of its divisors is an integer number (3581760).

Almost surely, 2164555424 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 164555424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257886720).

164555424 is an abundant number, since it is smaller than the sum of its proper divisors (351218016).

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

164555424 is a wasteful number, since it uses less digits than its factorization.

164555424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 164555424 is about 12827.9158088912. The cubic root of 164555424 is about 547.9876033923.

The spelling of 164555424 in words is "one hundred sixty-four million, five hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 127 132 144 176 198 254 264 288 352 381 396 409 508 528 762 792 818 1016 1056 1143 1227 1397 1524 1584 1636 2032 2286 2454 2794 3048 3168 3272 3681 4064 4191 4499 4572 4908 5588 6096 6544 7362 8382 8998 9144 9816 11176 12192 12573 13088 13497 14724 16764 17996 18288 19632 22352 25146 26994 29448 33528 35992 36576 39264 40491 44704 50292 51943 53988 58896 67056 71984 80982 100584 103886 107976 117792 134112 143968 155829 161964 201168 207772 215952 311658 323928 402336 415544 431904 467487 571373 623316 647856 831088 934974 1142746 1246632 1295712 1662176 1714119 1869948 2285492 2493264 3428238 3739896 4570984 4986528 5142357 6856476 7479792 9141968 10284714 13712952 14959584 18283936 20569428 27425904 41138856 54851808 82277712 164555424