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1052431424 = 26112364997
BaseRepresentation
bin111110101110101…
…101010001000000
32201100100001111122
4332232231101000
54123410301144
6252233131412
735036343122
oct7656552100
92640301448
101052431424
114a0085340
12254559b68
1313a0671b5
149dab9212
15625db7ee
hex3ebad440

1052431424 has 56 divisors (see below), whose sum is σ = 2377366848. Its totient is φ = 457571840.

The previous prime is 1052431421. The next prime is 1052431433. The reversal of 1052431424 is 4241342501.

1052431424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10524314242 = 2215223804445335552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052431393 and 1052431402.

It is not an unprimeable number, because it can be changed into a prime (1052431421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16307 + ... + 48690.

Almost surely, 21052431424 is an apocalyptic number.

It is an amenable number.

1052431424 is an abundant number, since it is smaller than the sum of its proper divisors (1324935424).

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

1052431424 is a wasteful number, since it uses less digits than its factorization.

1052431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65043 (or 65033 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1052431424 is about 32441.1994846060. The cubic root of 1052431424 is about 1017.1802886893.

Adding to 1052431424 its reverse (4241342501), we get a palindrome (5293773925).

The spelling of 1052431424 in words is "one billion, fifty-two million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 4048 8096 16192 64997 129994 259988 519976 714967 1039952 1429934 1494931 2079904 2859868 2989862 4159808 5719736 5979724 11439472 11959448 16444241 22878944 23918896 32888482 45757888 47837792 65776964 95675584 131553928 263107856 526215712 1052431424