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1054301472 = 253271573331
BaseRepresentation
bin111110110101110…
…101110100100000
32201110212001201200
4332311311310200
54124400121342
6252341201200
735061262140
oct7665656440
92643761650
101054301472
114a1142334
12255100200
1313a570433
14a0044920
156285a94c
hex3ed75d20

1054301472 has 144 divisors (see below), whose sum is σ = 3449339712. Its totient is φ = 299220480.

The previous prime is 1054301411. The next prime is 1054301489. The reversal of 1054301472 is 2741034501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10543014722 = 2223103187722733568, 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 23 ways as a sum of consecutive naturals, for example, 314847 + ... + 318177.

It is an arithmetic number, because the mean of its divisors is an integer number (23953748).

Almost surely, 21054301472 is an apocalyptic number.

1054301472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054301472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724669856).

1054301472 is an abundant number, since it is smaller than the sum of its proper divisors (2395038240).

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

1054301472 is a wasteful number, since it uses less digits than its factorization.

1054301472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1054301472 is about 32470.0088081294. The cubic root of 1054301472 is about 1017.7824024814.

Adding to 1054301472 its reverse (2741034501), we get a palindrome (3795335973).

The spelling of 1054301472 in words is "one billion, fifty-four million, three hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 157 168 224 252 288 314 336 471 504 628 672 942 1008 1099 1256 1413 1884 2016 2198 2512 2826 3297 3331 3768 4396 5024 5652 6594 6662 7536 8792 9891 9993 11304 13188 13324 15072 17584 19782 19986 22608 23317 26376 26648 29979 35168 39564 39972 45216 46634 52752 53296 59958 69951 79128 79944 93268 105504 106592 119916 139902 158256 159888 186536 209853 239832 279804 316512 319776 373072 419706 479664 522967 559608 746144 839412 959328 1045934 1119216 1568901 1678824 2091868 2238432 3137802 3357648 3660769 4183736 4706703 6275604 6715296 7321538 8367472 9413406 10982307 12551208 14643076 16734944 18826812 21964614 25102416 29286152 32946921 37653624 43929228 50204832 58572304 65893842 75307248 87858456 117144608 131787684 150614496 175716912 263575368 351433824 527150736 1054301472