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4028688048 = 2437111090013
BaseRepresentation
bin1111000000100000…
…1110011010110000
3101101202200120001110
43300020032122300
531222321004143
61503432433320
7201556166130
oct36010163260
911352616043
104028688048
1117880a8a60
12945248840
134c28574a8
142a30a0ac0
15188a40533
hexf020e6b0

4028688048 has 80 divisors (see below), whose sum is σ = 12975526656. Its totient is φ = 1046411520.

The previous prime is 4028688019. The next prime is 4028688077. The reversal of 4028688048 is 8408868204.

It is an interprime number because it is at equal distance from previous prime (4028688019) and next prime (4028688077).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4028687988 and 4028688006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541311 + ... + 548702.

Almost surely, 24028688048 is an apocalyptic number.

4028688048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4028688048 is an abundant number, since it is smaller than the sum of its proper divisors (8946838608).

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

4028688048 is a wasteful number, since it uses less digits than its factorization.

4028688048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090042 (or 1090036 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The square root of 4028688048 is about 63471.9469372100. The cubic root of 4028688048 is about 1591.1869685932.

It can be divided in two parts, 4028 and 688048, that added together give a triangular number (692076 = T1176).

The spelling of 4028688048 in words is "four billion, twenty-eight million, six hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 1090013 2180026 3270039 4360052 6540078 7630091 8720104 11990143 13080156 15260182 17440208 22890273 23980286 26160312 30520364 35970429 45780546 47960572 52320624 61040728 71940858 83931001 91561092 95921144 122081456 143881716 167862002 183122184 191842288 251793003 287763432 335724004 366244368 503586006 575526864 671448008 1007172012 1342896016 2014344024 4028688048