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164024432 = 241113174217
BaseRepresentation
bin10011100011011…
…01000001110000
3102102122022012222
421301231001300
5313442240212
624135340212
74031120225
oct1161550160
9372568188
10164024432
1184650a90
1246b21668
1327c9c4a0
1417ad994c
15e5eec72
hex9c6d070

164024432 has 80 divisors (see below), whose sum is σ = 395412192. Its totient is φ = 64757760.

The previous prime is 164024423. The next prime is 164024447. The reversal of 164024432 is 234420461.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36788 + ... + 41004.

Almost surely, 2164024432 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 164024432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197706096).

164024432 is an abundant number, since it is smaller than the sum of its proper divisors (231387760).

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

164024432 is a wasteful number, since it uses less digits than its factorization.

164024432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 164024432 is about 12807.2023486787. The cubic root of 164024432 is about 547.3975477416.

Adding to 164024432 its reverse (234420461), we get a palindrome (398444893).

The spelling of 164024432 in words is "one hundred sixty-four million, twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 104 136 143 176 187 208 221 272 286 374 442 572 748 884 1144 1496 1768 2288 2431 2992 3536 4217 4862 8434 9724 16868 19448 33736 38896 46387 54821 67472 71689 92774 109642 143378 185548 219284 286756 371096 438568 573512 603031 742192 788579 877136 931957 1147024 1206062 1577158 1863914 2412124 3154316 3727828 4824248 6308632 7455656 9648496 10251527 12617264 14911312 20503054 41006108 82012216 164024432