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4918748928 = 28329269821
BaseRepresentation
bin1001001010010111…
…00010011100000000
3110200210111100001020
410211023202130000
540033144431203
62132025505440
7232614450612
oct44513423400
913623440036
104918748928
1120a4561965
12b53342280
13605080c32
14349390db2
151dbc57153
hex1252e2700

4918748928 has 144 divisors (see below), whose sum is σ = 13609360800. Its totient is φ = 1575239680.

The previous prime is 4918748917. The next prime is 4918748953. The reversal of 4918748928 is 8298478194.

It is a happy number.

It is a super-2 number, since 2×49187489282 = 48388182033402298368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5990758 + ... + 5991578.

It is an arithmetic number, because the mean of its divisors is an integer number (94509450).

Almost surely, 24918748928 is an apocalyptic number.

4918748928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4918748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804680400).

4918748928 is an abundant number, since it is smaller than the sum of its proper divisors (8690611872).

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

4918748928 is a wasteful number, since it uses less digits than its factorization.

4918748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1124 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 60.

The square root of 4918748928 is about 70133.7930529926. The cubic root of 4918748928 is about 1700.6628243477.

The spelling of 4918748928 in words is "four billion, nine hundred eighteen million, seven hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 269 348 384 464 538 696 768 807 821 928 1076 1392 1614 1642 1856 2152 2463 2784 3228 3284 3712 4304 4926 5568 6456 6568 7424 7801 8608 9852 11136 12912 13136 15602 17216 19704 22272 23403 23809 25824 26272 31204 34432 39408 46806 47618 51648 52544 62408 68864 71427 78816 93612 95236 103296 105088 124816 142854 157632 187224 190472 206592 210176 220849 249632 285708 315264 374448 380944 441698 499264 571416 630528 662547 748896 761888 883396 998528 1142832 1325094 1497792 1523776 1766792 1997056 2285664 2650188 2995584 3047552 3533584 4571328 5300376 5991168 6095104 6404621 7067168 9142656 10600752 12809242 14134336 18285312 19213863 21201504 25618484 28268672 38427726 42403008 51236968 56537344 76855452 84806016 102473936 153710904 169612032 204947872 307421808 409895744 614843616 819791488 1229687232 1639582976 2459374464 4918748928