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1947426144 = 25338215309
BaseRepresentation
bin111010000010011…
…0101110101100000
312000201102111110020
41310010311311200
512442020114034
6521124033440
766154564146
oct16404656540
95021374406
101947426144
1190a2a90a4
12464232880
132505ca581
141468d1596
15b5e7a249
hex74135d60

1947426144 has 48 divisors (see below), whose sum is σ = 5114294640. Its totient is φ = 648849920.

The previous prime is 1947426137. The next prime is 1947426149. The reversal of 1947426144 is 4416247491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1947426096 and 1947426105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1947426149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364162 + ... + 369470.

It is an arithmetic number, because the mean of its divisors is an integer number (106547805).

Almost surely, 21947426144 is an apocalyptic number.

It is an amenable number.

1947426144 is an abundant number, since it is smaller than the sum of its proper divisors (3166868496).

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

1947426144 is a wasteful number, since it uses less digits than its factorization.

1947426144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9143 (or 9135 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 1947426144 is about 44129.6515281959. The cubic root of 1947426144 is about 1248.7830596828.

The spelling of 1947426144 in words is "one billion, nine hundred forty-seven million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3821 5309 7642 10618 11463 15284 15927 21236 22926 30568 31854 42472 45852 61136 63708 84944 91704 122272 127416 169888 183408 254832 366816 509664 20285689 40571378 60857067 81142756 121714134 162285512 243428268 324571024 486856536 649142048 973713072 1947426144