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4938428160 = 28325428683
BaseRepresentation
bin1001001100101101…
…00110111100000000
3110202011112010212200
410212112212330000
540103214200120
62134011353200
7233243642511
oct44626467400
913664463780
104938428160
112104683196
12b59a52800
13609181353
1434bc34a08
151dd842e90
hex1265a6f00

4938428160 has 108 divisors (see below), whose sum is σ = 17086486872. Its totient is φ = 1316911104.

The previous prime is 4938428129. The next prime is 4938428189. The reversal of 4938428160 is 618248394.

It is a happy number.

4938428160 is a `hidden beast` number, since 493 + 84 + 2 + 81 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202822 + ... + 225861.

Almost surely, 24938428160 is an apocalyptic number.

4938428160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4938428160 is an abundant number, since it is smaller than the sum of its proper divisors (12148058712).

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

4938428160 is a wasteful number, since it uses less digits than its factorization.

4938428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428710 (or 428693 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4938428160 is about 70273.9507925945. The cubic root of 4938428160 is about 1702.9278450164.

The spelling of 4938428160 in words is "four billion, nine hundred thirty-eight million, four hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 428683 857366 1286049 1714732 2143415 2572098 3429464 3858147 4286830 5144196 6430245 6858928 7716294 8573660 10288392 12860490 13717856 15432588 17147320 19290735 20576784 25720980 27435712 30865176 34294640 38581470 41153568 51441960 54871424 61730352 68589280 77162940 82307136 102883920 109742848 123460704 137178560 154325880 164614272 205767840 246921408 274357120 308651760 329228544 411535680 493842816 548714240 617303520 823071360 987685632 1234607040 1646142720 2469214080 4938428160