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4238043480 = 233251119233179
BaseRepresentation
bin1111110010011011…
…0110100101011000
3101221100121220201100
43330212312211120
532134414342410
61540311551400
7210010526616
oct37446664530
911840556640
104238043480
1118852a0880
129a338b560
13527038b48
142c2bda6b6
1519c0e68c0
hexfc9b6958

4238043480 has 768 divisors, whose sum is σ = 17252352000. Its totient is φ = 889574400.

The previous prime is 4238043479. The next prime is 4238043539. The reversal of 4238043480 is 843408324.

It is a super-2 number, since 2×42380434802 = 35922025076741020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53646081 + ... + 53646159.

It is an arithmetic number, because the mean of its divisors is an integer number (22464000).

Almost surely, 24238043480 is an apocalyptic number.

4238043480 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 4238043480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626176000).

4238043480 is an abundant number, since it is smaller than the sum of its proper divisors (13014308520).

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

4238043480 is a wasteful number, since it uses less digits than its factorization.

4238043480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4238043480 is about 65100.2571423493. The cubic root of 4238043480 is about 1618.2854745970.

The spelling of 4238043480 in words is "four billion, two hundred thirty-eight million, forty-three thousand, four hundred eighty".