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1054412625 = 3537257383
BaseRepresentation
bin111110110110010…
…000111101010001
32201111001201012110
4332312100331101
54124412201000
6252343415533
735062234200
oct7666207521
92644051173
101054412625
114a12088a2
122551545a9
1313a5abbc6
14a0073237
156287d850
hex3ed90f51

1054412625 has 48 divisors (see below), whose sum is σ = 2041034112. Its totient is φ = 482008800.

The previous prime is 1054412599. The next prime is 1054412651. The reversal of 1054412625 is 5262144501.

It is an interprime number because it is at equal distance from previous prime (1054412599) and next prime (1054412651).

It is not a de Polignac number, because 1054412625 - 27 = 1054412497 is a prime.

It is a super-2 number, since 2×10544126252 = 2223571967518781250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054412592 and 1054412601.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10317 + ... + 47066.

It is an arithmetic number, because the mean of its divisors is an integer number (42521544).

Almost surely, 21054412625 is an apocalyptic number.

1054412625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054412625 is a deficient number, since it is larger than the sum of its proper divisors (986621487).

1054412625 is an equidigital number, since it uses as much as digits as its factorization.

1054412625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57415 (or 57398 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1054412625 is about 32471.7203886705. The cubic root of 1054412625 is about 1017.8181688458.

It can be divided in two parts, 105 and 4412625, that multiplied together give a square (463325625 = 215252).

The spelling of 1054412625 in words is "one billion, fifty-four million, four hundred twelve thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 125 147 175 245 375 525 735 875 1225 2625 3675 6125 18375 57383 172149 286915 401681 860745 1205043 1434575 2008405 2811767 4303725 6025215 7172875 8435301 10042025 14058835 21518625 30126075 42176505 50210125 70294175 150630375 210882525 351470875 1054412625