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4963024440 = 2333511417763
BaseRepresentation
bin1001001111101000…
…11011111000111000
3110210212210202122000
410213310123320320
540131013240230
62140250501000
7233663004003
oct44764337070
913725722560
104963024440
1121175527a0
12b66134760
136112b386a
143511d853a
151e0aa0b60
hex127d1be38

4963024440 has 128 divisors (see below), whose sum is σ = 18047404800. Its totient is φ = 1203154560.

The previous prime is 4963024399. The next prime is 4963024459. The reversal of 4963024440 is 444203694.

It is a super-2 number, since 2×49630244402 = 49263223184074627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4963024395 and 4963024404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197002 + ... + 220761.

It is an arithmetic number, because the mean of its divisors is an integer number (140995350).

Almost surely, 24963024440 is an apocalyptic number.

4963024440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4963024440 is an abundant number, since it is smaller than the sum of its proper divisors (13084380360).

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

4963024440 is a wasteful number, since it uses less digits than its factorization.

4963024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417794 (or 417784 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4963024440 is about 70448.7362555213. The cubic root of 4963024440 is about 1705.7503587158.

The spelling of 4963024440 in words is "four billion, nine hundred sixty-three million, twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 417763 835526 1253289 1671052 2088815 2506578 3342104 3759867 4177630 4595393 5013156 6266445 7519734 8355260 9190786 10026312 11279601 12532890 13786179 15039468 16710520 18381572 18799335 22559202 22976965 25065780 27572358 30078936 36763144 37598670 41358537 45118404 45953930 50131560 55144716 56398005 68930895 75197340 82717074 90236808 91907860 110289432 112796010 124075611 137861790 150394680 165434148 183815720 206792685 225592020 248151222 275723580 330868296 413585370 451184040 496302444 551447160 620378055 827170740 992604888 1240756110 1654341480 2481512220 4963024440