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1054307872 = 25197512309
BaseRepresentation
bin111110110101110…
…111011000100000
32201110212101111201
4332311313120200
54124400322442
6252341250544
735061316612
oct7665673040
92643771451
101054307872
114a1147122
12255103a54
1313a573317
14a0046db2
156285c7b7
hex3ed77620

1054307872 has 48 divisors (see below), whose sum is σ = 2188771200. Its totient is φ = 498528000.

The previous prime is 1054307843. The next prime is 1054307893. The reversal of 1054307872 is 2787034501.

It is a super-2 number, since 2×10543078722 = 2223130177922336768, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 455454 + ... + 457762.

It is an arithmetic number, because the mean of its divisors is an integer number (45599400).

Almost surely, 21054307872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094385600).

1054307872 is an abundant number, since it is smaller than the sum of its proper divisors (1134463328).

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

1054307872 is a wasteful number, since it uses less digits than its factorization.

1054307872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 1054307872 is about 32470.1073604631. The cubic root of 1054307872 is about 1017.7844619158.

The spelling of 1054307872 in words is "one billion, fifty-four million, three hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 751 1502 2309 3004 4618 6008 9236 12016 14269 18472 24032 28538 36944 43871 57076 73888 87742 114152 175484 228304 350968 456608 701936 1403872 1734059 3468118 6936236 13872472 27744944 32947121 55489888 65894242 131788484 263576968 527153936 1054307872