Search a number
-
+
27835929252 = 223219101939937
BaseRepresentation
bin11001111011001001…
…101001001010100100
32122211221012201101200
4121323021221022210
5424001444214002
620442044322500
72003541331455
oct317311511244
978757181350
1027835929252
111089472470a
12548a243430
132817c33471
1414c0c8112c
15acdb57b1c
hex67b2692a4

27835929252 has 72 divisors (see below), whose sum is σ = 74140903200. Its totient is φ = 8781447168.

The previous prime is 27835929167. The next prime is 27835929257. The reversal of 27835929252 is 25292953872.

27835929252 is a `hidden beast` number, since 27 + 8 + 3 + 592 + 9 + 25 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (27835929257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677028 + ... + 716964.

Almost surely, 227835929252 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 27835929252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37070451600).

27835929252 is an abundant number, since it is smaller than the sum of its proper divisors (46304973948).

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

27835929252 is a wasteful number, since it uses less digits than its factorization.

27835929252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40985 (or 40980 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 27835929252 in words is "twenty-seven billion, eight hundred thirty-five million, nine hundred twenty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1019 2038 3057 4076 6114 9171 12228 18342 19361 36684 38722 39937 58083 77444 79874 116166 119811 159748 174249 232332 239622 348498 359433 479244 696996 718866 758803 1437732 1517606 2276409 3035212 4552818 6829227 9105636 13658454 27316908 40695803 81391606 122087409 162783212 244174818 366262227 488349636 732524454 773220257 1465048908 1546440514 2319660771 3092881028 4639321542 6958982313 9278643084 13917964626 27835929252