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4227137928 = 2334133116187
BaseRepresentation
bin1111101111110101…
…0000000110001000
3101220121002212010000
43323331100012020
532124121403203
61535242123000
7206516036166
oct37375200610
911817085100
104227137928
11187a122322
1299b7b0460
135249bb060
142c159c236
1519b1904a3
hexfbf50188

4227137928 has 160 divisors (see below), whose sum is σ = 13162786560. Its totient is φ = 1258623360.

The previous prime is 4227137921. The next prime is 4227137983. The reversal of 4227137928 is 8297317224.

4227137928 is a `hidden beast` number, since 4 + 2 + 271 + 379 + 2 + 8 = 666.

4227137928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42271379282 = 35737390124672266368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4227137921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 253051 + ... + 269237.

It is an arithmetic number, because the mean of its divisors is an integer number (82267416).

Almost surely, 24227137928 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 4227137928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581393280).

4227137928 is an abundant number, since it is smaller than the sum of its proper divisors (8935648632).

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

4227137928 is a wasteful number, since it uses less digits than its factorization.

4227137928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16249 (or 16236 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4227137928 is about 65016.4435200819. The cubic root of 4227137928 is about 1616.8961970533.

The spelling of 4227137928 in words is "four billion, two hundred twenty-seven million, one hundred thirty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 31 36 39 52 54 62 72 78 81 93 104 108 117 124 156 162 186 216 234 248 279 312 324 351 372 403 468 558 648 702 744 806 837 936 1053 1116 1209 1404 1612 1674 2106 2232 2418 2511 2808 3224 3348 3627 4212 4836 5022 6696 7254 8424 9672 10044 10881 14508 16187 20088 21762 29016 32374 32643 43524 48561 64748 65286 87048 97122 129496 130572 145683 194244 210431 261144 291366 388488 420862 437049 501797 582732 631293 841724 874098 1003594 1165464 1262586 1311147 1505391 1683448 1748196 1893879 2007188 2525172 2622294 3010782 3496392 3787758 4014376 4516173 5050344 5244588 5681637 6021564 6523361 7575516 9032346 10489176 11363274 12043128 13046722 13548519 15151032 17044911 18064692 19570083 22726548 26093444 27097038 34089822 36129384 39140166 40645557 45453096 52186888 54194076 58710249 68179644 78280332 81291114 108388152 117420498 136359288 156560664 162582228 176130747 234840996 325164456 352261494 469681992 528392241 704522988 1056784482 1409045976 2113568964 4227137928