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1378427625 = 34531091249
BaseRepresentation
bin101001000101001…
…0010001011101001
310120001202101020000
41102022102023221
510310334141000
6344440253213
746105304301
oct12212221351
93501671200
101378427625
116480a5093
12325771209
1318c767763
14d10d8601
1581033000
hex522922e9

1378427625 has 80 divisors (see below), whose sum is σ = 2595450000. Its totient is φ = 727833600.

The previous prime is 1378427591. The next prime is 1378427641. The reversal of 1378427625 is 5267248731.

1378427625 is a `hidden beast` number, since 1 + 378 + 4 + 276 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 376515216 + 1001912409 = 19404^2 + 31653^2 .

It is not a de Polignac number, because 1378427625 - 214 = 1378411241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1103001 + ... + 1104249.

It is an arithmetic number, because the mean of its divisors is an integer number (32443125).

Almost surely, 21378427625 is an apocalyptic number.

1378427625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1378427625 is a deficient number, since it is larger than the sum of its proper divisors (1217022375).

1378427625 is a wasteful number, since it uses less digits than its factorization.

1378427625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1366 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1378427625 is about 37127.1817540734. The cubic root of 1378427625 is about 1112.9132748955.

The spelling of 1378427625 in words is "one billion, three hundred seventy-eight million, four hundred twenty-seven thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 109 125 135 225 327 375 405 545 675 981 1125 1249 1635 2025 2725 2943 3375 3747 4905 6245 8175 8829 10125 11241 13625 14715 18735 24525 31225 33723 40875 44145 56205 73575 93675 101169 122625 136141 156125 168615 220725 281025 367875 408423 468375 505845 680705 843075 1103625 1225269 1405125 2042115 2529225 3403525 3675807 4215375 6126345 10210575 11027421 12646125 17017625 18379035 30631725 51052875 55137105 91895175 153158625 275685525 459475875 1378427625