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1378614825 = 3252719232003
BaseRepresentation
bin101001000101011…
…1111111000101001
310120002002220000100
41102022333320221
510310411133300
6344444300013
746110014130
oct12212777051
93502086010
101378614825
116482127a5
12325841609
1318c801a23
14d1146917
158106d700
hex522bfe29

1378614825 has 144 divisors (see below), whose sum is σ = 3101230080. Its totient is φ = 570810240.

The previous prime is 1378614799. The next prime is 1378614829. The reversal of 1378614825 is 5284168731.

1378614825 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 614 + 8 + 25 = 666.

It is not a de Polignac number, because 1378614825 - 26 = 1378614761 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1378614829) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 687274 + ... + 689276.

It is an arithmetic number, because the mean of its divisors is an integer number (21536320).

Almost surely, 21378614825 is an apocalyptic number.

1378614825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1378614825 is an abundant number, since it is smaller than the sum of its proper divisors (1722615255).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1378614825 is a wasteful number, since it uses less digits than its factorization.

1378614825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2060 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1378614825 is about 37129.7027324486. The cubic root of 1378614825 is about 1112.9636530537.

The spelling of 1378614825 in words is "one billion, three hundred seventy-eight million, six hundred fourteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 23 25 35 45 57 63 69 75 95 105 115 133 161 171 175 207 225 285 315 345 399 437 475 483 525 575 665 805 855 1035 1197 1311 1425 1449 1575 1725 1995 2003 2185 2415 3059 3325 3933 4025 4275 5175 5985 6009 6555 7245 9177 9975 10015 10925 12075 14021 15295 18027 19665 27531 29925 30045 32775 36225 38057 42063 45885 46069 50075 70105 76475 90135 98325 114171 126189 137655 138207 150225 190285 210315 229425 230345 266399 322483 342513 350525 414621 450675 570855 630945 688275 691035 799197 875311 951425 967449 1051575 1151725 1331995 1612415 1712565 2073105 2397591 2625933 2854275 2902347 3154725 3455175 3995985 4376555 4837245 6127177 6659975 7877799 8062075 8562825 10365525 11987955 13129665 14511735 18381531 19979925 21882775 24186225 30635885 39388995 55144593 59939775 65648325 72558675 91907655 153179425 196944975 275722965 459538275 1378614825