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1456034816 = 2101421909
BaseRepresentation
bin101011011001001…
…0101010000000000
310202110210020021102
41112302111100000
510440221103231
6400251513532
751040043315
oct12662252000
93673706242
101456034816
11687991565
123477588a8
131a286a982
14db53ad0c
1587c62acb
hex56c95400

1456034816 has 22 divisors (see below), whose sum is σ = 2910649770. Its totient is φ = 728016896.

The previous prime is 1456034791. The next prime is 1456034837. The reversal of 1456034816 is 6184306541.

It can be written as a sum of positive squares in only one way, i.e., 1420988416 + 35046400 = 37696^2 + 5920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1456034816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 709931 + ... + 711978.

Almost surely, 21456034816 is an apocalyptic number.

1456034816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1456034816 is a deficient number, since it is larger than the sum of its proper divisors (1454614954).

1456034816 is an equidigital number, since it uses as much as digits as its factorization.

1456034816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421929 (or 1421911 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 1456034816 is about 38158.0242675115. The cubic root of 1456034816 is about 1133.4192556157.

The spelling of 1456034816 in words is "one billion, four hundred fifty-six million, thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1421909 2843818 5687636 11375272 22750544 45501088 91002176 182004352 364008704 728017408 1456034816