Search a number
-
+
538067712 = 2837137699
BaseRepresentation
bin100000000100100…
…100001100000000
31101111110200010210
4200010210030000
52100221131322
6125220354120
716222333350
oct4004441400
91344420123
10538067712
112567a8266
12130245940
1387623280
1451664b60
153238770c
hex20124300

538067712 has 144 divisors (see below), whose sum is σ = 1762745600. Its totient is φ = 141889536.

The previous prime is 538067671. The next prime is 538067737. The reversal of 538067712 is 217760835.

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

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, 66039 + ... + 73737.

Almost surely, 2538067712 is an apocalyptic number.

538067712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881372800).

538067712 is an abundant number, since it is smaller than the sum of its proper divisors (1224677888).

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

538067712 is a wasteful number, since it uses less digits than its factorization.

538067712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738 (or 7724 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 538067712 is about 23196.2865993676. The cubic root of 538067712 is about 813.3528210565.

The spelling of 538067712 in words is "five hundred thirty-eight million, sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 7699 8736 9984 11648 15398 17472 23097 23296 30796 34944 46194 53893 61592 69888 92388 100087 107786 123184 161679 184776 200174 215572 246368 300261 323358 369552 400348 431144 492736 600522 646716 700609 739104 800696 862288 985472 1201044 1293432 1401218 1478208 1601392 1724576 1970944 2101827 2402088 2586864 2802436 2956416 3202784 3449152 4203654 4804176 5173728 5604872 5912832 6405568 6898304 8407308 9608352 10347456 11209744 12811136 13796608 16814616 19216704 20694912 22419488 25622272 33629232 38433408 41389824 44838976 67258464 76866816 89677952 134516928 179355904 269033856 538067712