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400047395049 = 3431222672
BaseRepresentation
bin1011101001001001010…
…11101101000011101001
31102020120222202021210000
411310210223231003221
523023244113120144
6503440152013213
740621355516001
oct5644453550351
91366528667700
10400047395049
11144728363a65
1265647091209
132b9553c3b53
14155105bd001
15a615b5b769
hex5d24aed0e9

400047395049 has 45 divisors (see below), whose sum is σ = 617773498221. Its totient is φ = 257981244840.

The previous prime is 400047395029. The next prime is 400047395071. The reversal of 400047395049 is 940593740004.

It is a happy number.

The square root of 400047395049 is 632493.

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

It is not a de Polignac number, because 400047395049 - 213 = 400047386857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400047394995 and 400047395013.

It is not an unprimeable number, because it can be changed into a prime (400047395029) 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, 176464414 + ... + 176466680.

Almost surely, 2400047395049 is an apocalyptic number.

400047395049 is the 632493-rd square number.

400047395049 is the 316247-th centered octagonal number.

It is an amenable number.

400047395049 is a deficient number, since it is larger than the sum of its proper divisors (217726103172).

400047395049 is an frugal number, since it uses more digits than its factorization.

400047395049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 400047395049 in words is "four hundred billion, forty-seven million, three hundred ninety-five thousand, forty-nine".

Divisors: 1 3 9 27 31 81 93 279 837 961 2267 2511 2883 6801 8649 20403 25947 61209 70277 77841 183627 210831 632493 1897479 2178587 5139289 5692437 6535761 15417867 19607283 46253601 58821849 138760803 159317959 176465547 416282409 477953877 1433861631 4301584893 4938856729 12904754679 14816570187 44449710561 133349131683 400047395049