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4198242048 = 2837111343127
BaseRepresentation
bin1111101000111100…
…0001011100000000
3101211120201210102020
43322033001130000
532044222221143
61532330521440
7206015316510
oct37217013400
911746653366
104198242048
111864886430
12991b96280
1351ba117c0
142bb7d9840
15198883883
hexfa3c1700

4198242048 has 576 divisors, whose sum is σ = 15471869952. Its totient is φ = 975421440.

The previous prime is 4198242047. The next prime is 4198242067. The reversal of 4198242048 is 8402428914.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198242047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33056961 + ... + 33057087.

Almost surely, 24198242048 is an apocalyptic number.

4198242048 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 4198242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735934976).

4198242048 is an abundant number, since it is smaller than the sum of its proper divisors (11273627904).

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

4198242048 is a wasteful number, since it uses less digits than its factorization.

4198242048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4198242048 is about 64793.8426704266. The cubic root of 4198242048 is about 1613.2035090458.

The spelling of 4198242048 in words is "four billion, one hundred ninety-eight million, two hundred forty-two thousand, forty-eight".