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2872424025 = 36523972
BaseRepresentation
bin1010101100110101…
…1011011001011001
321102011222021000000
42223031123121121
521340320032100
61153010003213
7131116126032
oct25315333131
97364867000
102872424025
111244454759
12681b76509
1336a1371b3
141d36b7a89
1511c293900
hexab35b659

2872424025 has 63 divisors (see below), whose sum is σ = 5353751181. Its totient is φ = 1528100640.

The previous prime is 2872423991. The next prime is 2872424033. The reversal of 2872424025 is 5204242782.

The square root of 2872424025 is 53595.

It is a perfect power (a square), and thus also a powerful number.

2872424025 is a `hidden beast` number, since 2 + 8 + 7 + 242 + 402 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2893401 + 2869530624 = 1701^2 + 53568^2 .

It is a de Polignac number, because none of the positive numbers 2k-2872424025 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7235127 + ... + 7235523.

Almost surely, 22872424025 is an apocalyptic number.

2872424025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2872424025 is the 53595-th square number.

2872424025 is the 26798-th centered octagonal number.

It is an amenable number.

2872424025 is a deficient number, since it is larger than the sum of its proper divisors (2481327156).

2872424025 is an frugal number, since it uses more digits than its factorization.

2872424025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The cubic root of 2872424025 is about 1421.5086830120.

Multiplying 2872424025 by its sum of digits (36), we get a square (103407264900 = 3215702).

The spelling of 2872424025 in words is "two billion, eight hundred seventy-two million, four hundred twenty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 397 405 675 729 1191 1215 1985 2025 3573 3645 5955 6075 9925 10719 17865 18225 29775 32157 53595 89325 96471 157609 160785 267975 289413 472827 482355 788045 803925 1418481 1447065 2364135 2411775 3940225 4255443 7092405 7235325 11820675 12766329 21277215 35462025 38298987 63831645 106386075 114896961 191494935 319158225 574484805 957474675 2872424025