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47998237225 = 5243210192
BaseRepresentation
bin101100101100111010…
…101111101000101001
311120220002011002022211
4230230322233220221
51241300022042400
634014452445121
73316304166451
oct545472575051
9146802132284
1047998237225
11193a0832054
1293766197a1
1346ac129203
142474936d61
1513adc84dba
hexb2ceafa29

47998237225 has 27 divisors (see below), whose sum is σ = 60993995223. Its totient is φ = 37468793040.

The previous prime is 47998237213. The next prime is 47998237229. The reversal of 47998237225 is 52273289974.

It is a happy number.

The square root of 47998237225 is 219085.

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

It can be written as a sum of positive squares in only one way, i.e., 17279365401 + 30718871824 = 131451^2 + 175268^2 .

It is not a de Polignac number, because 47998237225 - 219 = 47997712937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47998237225.

It is not an unprimeable number, because it can be changed into a prime (47998237229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47102766 + ... + 47103784.

Almost surely, 247998237225 is an apocalyptic number.

47998237225 is the 219085-th square number.

47998237225 is the 109543-rd centered octagonal number.

It is an amenable number.

47998237225 is a deficient number, since it is larger than the sum of its proper divisors (12995757998).

47998237225 is an frugal number, since it uses more digits than its factorization.

47998237225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 1067 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 58.

The spelling of 47998237225 in words is "forty-seven billion, nine hundred ninety-eight million, two hundred thirty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 43 215 1019 1075 1849 5095 9245 25475 43817 46225 219085 1038361 1095425 1884131 5191805 9420655 25959025 44649523 47103275 223247615 1116238075 1919929489 9599647445 47998237225