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1057671552 = 2737393479
BaseRepresentation
bin111111000010101…
…100100110000000
32201201012021121110
4333002230212000
54131230442202
6252541323320
735132026350
oct7702544600
92651167543
101057671552
114a3034323
12256266540
1313b180372
14a0680b60
1562cc426c
hex3f0ac980

1057671552 has 64 divisors (see below), whose sum is σ = 3210796800. Its totient is φ = 302191104.

The previous prime is 1057671533. The next prime is 1057671611. The reversal of 1057671552 is 2551767501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10576715522 = 2237338223820177408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057671552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194052 + ... + 199427.

It is an arithmetic number, because the mean of its divisors is an integer number (50168700).

Almost surely, 21057671552 is an apocalyptic number.

1057671552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057671552 is an abundant number, since it is smaller than the sum of its proper divisors (2153125248).

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

1057671552 is an equidigital number, since it uses as much as digits as its factorization.

1057671552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393503 (or 393491 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 39.

The square root of 1057671552 is about 32521.8626772822. The cubic root of 1057671552 is about 1018.8656979166.

It can be divided in two parts, 10576 and 71552, that added together give a palindrome (82128).

The spelling of 1057671552 in words is "one billion, fifty-seven million, six hundred seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 393479 786958 1180437 1573916 2360874 2754353 3147832 4721748 5508706 6295664 8263059 9443496 11017412 12591328 16526118 18886992 22034824 25182656 33052236 37773984 44069648 50365312 66104472 75547968 88139296 132208944 151095936 176278592 264417888 352557184 528835776 1057671552