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4126535028 = 22327114393391
BaseRepresentation
bin1111010111110101…
…1110110101110100
3101122120210200212200
43311331132311310
531422343110103
61521245544500
7204154653240
oct36575366564
911576720780
104126535028
111828359930
12971b75130
13509bc6005
142b2091420
1519241c0a3
hexf5f5ed74

4126535028 has 144 divisors (see below), whose sum is σ = 13038305280. Its totient is φ = 1069070400.

The previous prime is 4126534991. The next prime is 4126535029. The reversal of 4126535028 is 8205356214.

4126535028 is a `hidden beast` number, since 41 + 265 + 350 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4126534983 and 4126535001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126535029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1215213 + ... + 1218603.

Almost surely, 24126535028 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 4126535028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519152640).

4126535028 is an abundant number, since it is smaller than the sum of its proper divisors (8911770252).

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

4126535028 is a wasteful number, since it uses less digits than its factorization.

4126535028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4126535028 is about 64238.1119585562. Note that the first 3 decimals coincide. The cubic root of 4126535028 is about 1603.9660758824.

The spelling of 4126535028 in words is "four billion, one hundred twenty-six million, five hundred thirty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 439 462 693 878 924 1317 1386 1756 2634 2772 3073 3391 3951 4829 5268 6146 6782 7902 9219 9658 10173 12292 13564 14487 15804 18438 19316 20346 23737 27657 28974 30519 33803 36876 37301 40692 43461 47474 55314 57948 61038 67606 71211 74602 86922 94948 101409 110628 111903 122076 135212 142422 149204 173844 202818 213633 223806 261107 284844 304227 335709 405636 427266 447612 522214 608454 671418 783321 854532 1044428 1216908 1342836 1488649 1566642 2349963 2977298 3133284 4465947 4699926 5954596 8931894 9399852 10420543 13397841 16375139 17863788 20841086 26795682 31261629 32750278 41682172 49125417 53591364 62523258 65500556 93784887 98250834 114625973 125046516 147376251 187569774 196501668 229251946 294752502 343877919 375139548 458503892 589505004 687755838 1031633757 1375511676 2063267514 4126535028