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4212324928 = 267192292161
BaseRepresentation
bin1111101100010010…
…1111101001000000
3101212120020021111101
43323010233221000
532111323344203
61533552424144
7206246112460
oct37304575100
911776207441
104212324928
111871825079
12996848054
13521902876
142bd623ba0
15199c1641d
hexfb12fa40

4212324928 has 112 divisors (see below), whose sum is σ = 10104323200. Its totient is φ = 1702010880.

The previous prime is 4212324917. The next prime is 4212324929. The reversal of 4212324928 is 8294232124.

It is a happy number.

4212324928 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 (112).

It is not an unprimeable number, because it can be changed into a prime (4212324929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1948168 + ... + 1950328.

Almost surely, 24212324928 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 4212324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052161600).

4212324928 is an abundant number, since it is smaller than the sum of its proper divisors (5891998272).

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

4212324928 is a wasteful number, since it uses less digits than its factorization.

4212324928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2418 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 4212324928 is about 64902.4262104276. The cubic root of 4212324928 is about 1615.0053104906.

The spelling of 4212324928 in words is "four billion, two hundred twelve million, three hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 229 266 304 448 458 532 608 916 1064 1216 1603 1832 2128 2161 3206 3664 4256 4322 4351 6412 7328 8512 8644 8702 12824 14656 15127 17288 17404 25648 30254 30457 34576 34808 41059 51296 60508 60914 69152 69616 82118 102592 121016 121828 138304 139232 164236 242032 243656 278464 287413 328472 484064 487312 494869 574826 656944 968128 974624 989738 1149652 1313888 1949248 1979476 2299304 2627776 3464083 3958952 4598608 6928166 7917904 9197216 9402511 13856332 15835808 18394432 18805022 27712664 31671616 37610044 55425328 65817577 75220088 110850656 131635154 150440176 221701312 263270308 300880352 526540616 601760704 1053081232 2106162464 4212324928