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4931234640 = 24345760993
BaseRepresentation
bin1001001011110110…
…01010101101010000
3110201122222200020000
410211323022231100
540044344002030
62133153250000
7233125542243
oct44573125520
913648880200
104931234640
11210060a632
12b57563900
13607833027
1434acc125a
151dcdc1860
hex125ecab50

4931234640 has 100 divisors (see below), whose sum is σ = 17126930964. Its totient is φ = 1314994176.

The previous prime is 4931234629. The next prime is 4931234647. The reversal of 4931234640 is 464321394.

It is a happy number.

4931234640 is a `hidden beast` number, since 4 + 9 + 3 + 1 + 2 + 3 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3524084496 + 1407150144 = 59364^2 + 37512^2 .

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 = 4931234595 and 4931234604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4931234647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 374017 + ... + 386976.

Almost surely, 24931234640 is an apocalyptic number.

4931234640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4931234640 is an abundant number, since it is smaller than the sum of its proper divisors (12195696324).

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

4931234640 is a wasteful number, since it uses less digits than its factorization.

4931234640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761018 (or 761003 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4931234640 is about 70222.7501597595. The cubic root of 4931234640 is about 1702.1005913567.

The spelling of 4931234640 in words is "four billion, nine hundred thirty-one million, two hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 760993 1521986 2282979 3043972 3804965 4565958 6087944 6848937 7609930 9131916 11414895 12175888 13697874 15219860 18263832 20546811 22829790 27395748 30439720 34244685 36527664 41093622 45659580 54791496 60879440 61640433 68489370 82187244 91319160 102734055 109582992 123280866 136978740 164374488 182638320 205468110 246561732 273957480 308202165 328748976 410936220 493123464 547914960 616404330 821872440 986246928 1232808660 1643744880 2465617320 4931234640