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4248402312 = 233721123109131
BaseRepresentation
bin1111110100111001…
…0111100110001000
3101222002010012100210
43331032113212020
532200042333222
61541322001120
7210164552400
oct37516274610
911862105323
104248402312
1118901265a0
129a69461a0
13529224b2b
142c4335800
1519ce90d0c
hexfd397988

4248402312 has 384 divisors, whose sum is σ = 14301619200. Its totient is φ = 1037836800.

The previous prime is 4248402311. The next prime is 4248402317. The reversal of 4248402312 is 2132048424.

It is a self number, because there is not a number n which added to its sum of digits gives 4248402312.

It is not an unprimeable number, because it can be changed into a prime (4248402311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32430487 + ... + 32430617.

It is an arithmetic number, because the mean of its divisors is an integer number (37243800).

Almost surely, 24248402312 is an apocalyptic number.

4248402312 is a gapful number since it is divisible by the number (42) 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 4248402312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150809600).

4248402312 is an abundant number, since it is smaller than the sum of its proper divisors (10053216888).

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

4248402312 is a wasteful number, since it uses less digits than its factorization.

4248402312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4248402312 is about 65179.7691925953. The cubic root of 4248402312 is about 1619.6028991635.

The spelling of 4248402312 in words is "four billion, two hundred forty-eight million, four hundred two thousand, three hundred twelve".