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4246264048 = 241323899973
BaseRepresentation
bin1111110100011000…
…1101100011110000
3101221221002120012211
43331012031203300
532144020422143
61541204101504
7210140435365
oct37506154360
911857076184
104246264048
1118899a6034
129a6094894
135289567a0
142c3d3a46c
1519cbbc49d
hexfd18d8f0

4246264048 has 80 divisors (see below), whose sum is σ = 9350026560. Its totient is φ = 1853356032.

The previous prime is 4246264037. The next prime is 4246264051. The reversal of 4246264048 is 8404626424.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4246264048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420790 + ... + 430762.

It is an arithmetic number, because the mean of its divisors is an integer number (116875332).

Almost surely, 24246264048 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 4246264048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675013280).

4246264048 is an abundant number, since it is smaller than the sum of its proper divisors (5103762512).

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

4246264048 is a wasteful number, since it uses less digits than its factorization.

4246264048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The square root of 4246264048 is about 65163.3643084824. The cubic root of 4246264048 is about 1619.3311327053.

The spelling of 4246264048 in words is "four billion, two hundred forty-six million, two hundred sixty-four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 89 92 104 178 184 208 299 356 368 598 712 1157 1196 1424 2047 2314 2392 4094 4628 4784 8188 9256 9973 16376 18512 19946 26611 32752 39892 53222 79784 106444 129649 159568 212888 229379 259298 425776 458758 518596 887597 917516 1037192 1775194 1835032 2074384 2981927 3550388 3670064 5963854 7100776 11538761 11927708 14201552 20414731 23077522 23855416 40829462 46155044 47710832 81658924 92310088 163317848 184620176 265391503 326635696 530783006 1061566012 2123132024 4246264048