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1057129472 = 21071391061
BaseRepresentation
bin111111000000101…
…000010000000000
32201200011202000102
4333000220100000
54131111120342
6252521541532
735124311060
oct7700502000
92650152012
101057129472
114a27a4023
122560448a8
1313b0206c9
14a057d3a0
1562c18832
hex3f028400

1057129472 has 88 divisors (see below), whose sum is σ = 2434783680. Its totient is φ = 449372160.

The previous prime is 1057129457. The next prime is 1057129483. The reversal of 1057129472 is 2749217501.

It is a happy number.

It is a super-2 number, since 2×10571294722 = 2235045441141997568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 995822 + ... + 996882.

Almost surely, 21057129472 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 1057129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217391840).

1057129472 is an abundant number, since it is smaller than the sum of its proper divisors (1377654208).

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

1057129472 is a wasteful number, since it uses less digits than its factorization.

1057129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 1057129472 is about 32513.5275231710. The cubic root of 1057129472 is about 1018.6916044564.

The spelling of 1057129472 in words is "one billion, fifty-seven million, one hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 256 278 448 512 556 896 973 1024 1061 1112 1792 1946 2122 2224 3584 3892 4244 4448 7168 7427 7784 8488 8896 14854 15568 16976 17792 29708 31136 33952 35584 59416 62272 67904 71168 118832 124544 135808 142336 147479 237664 249088 271616 294958 475328 498176 543232 589916 950656 996352 1032353 1086464 1179832 1901312 2064706 2359664 3802624 4129412 4719328 7605248 8258824 9438656 16517648 18877312 33035296 37754624 66070592 75509248 132141184 151018496 264282368 528564736 1057129472