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4198983840 = 2533541151157
BaseRepresentation
bin1111101001000111…
…0110100010100000
3101211122010110222000
43322101312202200
532044414440330
61532354444000
7206024526252
oct37221664240
911748113860
104198983840
111865242787
12992293600
1351bc1132c
142bb94dcd2
1519897d560
hexfa4768a0

4198983840 has 384 divisors, whose sum is σ = 15251120640. Its totient is φ = 1078272000.

The previous prime is 4198983809. The next prime is 4198983847. The reversal of 4198983840 is 483898914.

It is a super-2 number, since 2×41989838402 = 35262930577162291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4198983847) 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, 26745042 + ... + 26745198.

It is an arithmetic number, because the mean of its divisors is an integer number (39716460).

Almost surely, 24198983840 is an apocalyptic number.

4198983840 is a gapful number since it is divisible by the number (40) 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 4198983840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625560320).

4198983840 is an abundant number, since it is smaller than the sum of its proper divisors (11052136800).

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

4198983840 is a wasteful number, since it uses less digits than its factorization.

4198983840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 4198983840 is about 64799.5666652178. The cubic root of 4198983840 is about 1613.2985163505.

The spelling of 4198983840 in words is "four billion, one hundred ninety-eight million, nine hundred eighty-three thousand, eight hundred forty".