Search a number
-
+
46498453225 = 52726121012
BaseRepresentation
bin101011010011100001…
…100001011011101001
311110000120001011110021
4223103201201123221
51230212101000400
633205555120441
73234163221400
oct532341413351
9143016034407
1046498453225
11187a118a144
1290182a3121
1345004b1363
14237168c637
15132227e71a
hexad38616e9

46498453225 has 81 divisors (see below), whose sum is σ = 68871031983. Its totient is φ = 31051440000.

The previous prime is 46498453207. The next prime is 46498453229. The reversal of 46498453225 is 52235489464.

The square root of 46498453225 is 215635.

It is a perfect power (a square), and thus also a powerful number.

46498453225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 30558885721 + 15939567504 = 174811^2 + 126252^2 .

It is not a de Polignac number, because 46498453225 - 217 = 46498322153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46498453229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 460380675 + ... + 460380775.

Almost surely, 246498453225 is an apocalyptic number.

46498453225 is the 215635-th square number.

46498453225 is the 107818-th centered octagonal number.

It is an amenable number.

46498453225 is a deficient number, since it is larger than the sum of its proper divisors (22372578758).

46498453225 is an equidigital number, since it uses as much as digits as its factorization.

46498453225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The spelling of 46498453225 in words is "forty-six billion, four hundred ninety-eight million, four hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 61 101 175 245 305 427 505 707 1225 1525 2135 2525 2989 3535 3721 4949 6161 10201 10675 14945 17675 18605 24745 26047 30805 43127 51005 71407 74725 93025 123725 130235 154025 182329 215635 255025 301889 357035 375821 499849 622261 651175 911645 1078175 1509445 1785175 1879105 2499245 2630747 3111305 4355827 4558225 7547225 9395525 12496225 13153735 15556525 18415229 21779135 30490789 37957921 65768675 92076145 108895675 152453945 189789605 265705447 460380725 762269725 948948025 1328527235 1859938129 6642636175 9299690645 46498453225