Search a number
-
+
1053953972 = 225317092909
BaseRepresentation
bin111110110100100…
…000111110110100
32201110012102001022
4332310200332310
54124303011342
6252325520312
735055314051
oct7664407664
92643172038
101053953972
114a0a25245
12254b73098
1313a47b206
149dd94028
15627dc9d2
hex3ed20fb4

1053953972 has 24 divisors (see below), whose sum is σ = 1880965800. Its totient is φ = 516553856.

The previous prime is 1053953939. The next prime is 1053954007. The reversal of 1053953972 is 2793593501.

It can be written as a sum of positive squares in 4 ways, for example, as 283114276 + 770839696 = 16826^2 + 27764^2 .

It is a super-2 number, since 2×10539539722 = 2221637950189153568, which contains 22 as substring.

It is a congruent number.

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, 360854 + ... + 363762.

It is an arithmetic number, because the mean of its divisors is an integer number (78373575).

Almost surely, 21053953972 is an apocalyptic number.

It is an amenable number.

1053953972 is a deficient number, since it is larger than the sum of its proper divisors (827011828).

1053953972 is a wasteful number, since it uses less digits than its factorization.

1053953972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 44.

The square root of 1053953972 is about 32464.6572752586. The cubic root of 1053953972 is about 1017.6705691146.

The spelling of 1053953972 in words is "one billion, fifty-three million, nine hundred fifty-three thousand, nine hundred seventy-two".

Divisors: 1 2 4 53 106 212 1709 2909 3418 5818 6836 11636 90577 154177 181154 308354 362308 616708 4971481 9942962 19885924 263488493 526976986 1053953972