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49584155625 = 325429692
BaseRepresentation
bin101110001011011100…
…100010101111101001
311201222121100002101100
4232023130202233221
51303022020440000
634440104312013
73403512240324
oct561334425751
9151877302340
1049584155625
111a034a66014
129739772609
1348a2871674
1425854037bb
151453101a00
hexb8b722be9

49584155625 has 45 divisors (see below), whose sum is σ = 89528453443. Its totient is φ = 26435976000.

The previous prime is 49584155623. The next prime is 49584155651. The reversal of 49584155625 is 52655148594.

The square root of 49584155625 is 222675.

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

49584155625 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 4 + 1 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 47511356841 + 2072798784 = 217971^2 + 45528^2 .

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

It is not a de Polignac number, because 49584155625 - 21 = 49584155623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49584155623) 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, 16699141 + ... + 16702109.

Almost surely, 249584155625 is an apocalyptic number.

49584155625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49584155625 is the 222675-th square number.

49584155625 is the 111338-th centered octagonal number.

It is an amenable number.

49584155625 is a deficient number, since it is larger than the sum of its proper divisors (39944297818).

49584155625 is an frugal number, since it uses more digits than its factorization.

49584155625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 2977 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 54.

It can be divided in two parts, 49584 and 155625, that added together give a square (205209 = 4532).

The spelling of 49584155625 in words is "forty-nine billion, five hundred eighty-four million, one hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 2969 5625 8907 14845 26721 44535 74225 133605 222675 371125 668025 1113375 1855625 3340125 5566875 8814961 16700625 26444883 44074805 79334649 132224415 220374025 396673245 661122075 1101870125 1983366225 3305610375 5509350625 9916831125 16528051875 49584155625