Search a number
-
+
5627250225 = 345216672
BaseRepresentation
bin1010011110110100…
…10000011000110001
3112112011122221010000
411033122100120301
543011034001400
62330215300213
7256306560222
oct51732203061
915464587100
105627250225
112428488423
12111067a669
136b8aa897c
143b54dd249
1522e058600
hex14f690631

5627250225 has 45 divisors (see below), whose sum is σ = 10429869307. Its totient is φ = 2999399760.

The previous prime is 5627250217. The next prime is 5627250227. The reversal of 5627250225 is 5220527265.

It is a happy number.

The square root of 5627250225 is 75015.

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

5627250225 is a `hidden beast` number, since 5 + 62 + 72 + 502 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2025810081 + 3601440144 = 45009^2 + 60012^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 5627250225 - 23 = 5627250217 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 5627250225.

It is not an unprimeable number, because it can be changed into a prime (5627250227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3374842 + ... + 3376508.

Almost surely, 25627250225 is an apocalyptic number.

5627250225 is the 75015-th square number.

5627250225 is the 37508-th centered octagonal number.

It is an amenable number.

5627250225 is a deficient number, since it is larger than the sum of its proper divisors (4802619082).

5627250225 is an frugal number, since it uses more digits than its factorization.

5627250225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The cubic root of 5627250225 is about 1778.6837705618.

Multiplying 5627250225 by its sum of digits (36), we get a square (202581008100 = 4500902).

The spelling of 5627250225 in words is "five billion, six hundred twenty-seven million, two hundred fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1667 2025 5001 8335 15003 25005 41675 45009 75015 125025 135027 225045 375075 675135 1125225 2778889 3375675 8336667 13894445 25010001 41683335 69472225 75030003 125050005 208416675 225090009 375150015 625250025 1125450045 1875750075 5627250225