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6246406040 = 235743351521
BaseRepresentation
bin1011101000101000…
…01001011110011000
3121010022201022012212
411310110021132120
5100243034443130
62511454054252
7310535401220
oct56424113630
917108638185
106246406040
112715a2a346
121263aaa388
13787150664
14433831080
152685abe95
hex174509798

6246406040 has 64 divisors (see below), whose sum is σ = 16099594560. Its totient is φ = 2136637440.

The previous prime is 6246406037. The next prime is 6246406063. The reversal of 6246406040 is 406046426.

It is a junction number, because it is equal to n+sod(n) for n = 6246405988 and 6246406006.

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, 95480 + ... + 147000.

It is an arithmetic number, because the mean of its divisors is an integer number (251556165).

Almost surely, 26246406040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6246406040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049797280).

6246406040 is an abundant number, since it is smaller than the sum of its proper divisors (9853188520).

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

6246406040 is a wasteful number, since it uses less digits than its factorization.

6246406040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51972 (or 51968 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 6246406040 is about 79034.2080367735. The cubic root of 6246406040 is about 1841.6626079730.

The spelling of 6246406040 in words is "six billion, two hundred forty-six million, four hundred six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 433 866 1732 2165 3031 3464 4330 6062 8660 12124 15155 17320 24248 30310 51521 60620 103042 121240 206084 257605 360647 412168 515210 721294 1030420 1442588 1803235 2060840 2885176 3606470 7212940 14425880 22308593 44617186 89234372 111542965 156160151 178468744 223085930 312320302 446171860 624640604 780800755 892343720 1249281208 1561601510 3123203020 6246406040