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4718394240 = 27357250153
BaseRepresentation
bin1000110010011110…
…01111101110000000
3110011211111021002020
410121033033232000
534130402103430
62100111321440
7224632455300
oct43117175600
913154437066
104718394240
11200145747a
12ab8220280
135a2701371
1432a919600
151c937cb10
hex1193cfb80

4718394240 has 192 divisors, whose sum is σ = 17495721360. Its totient is φ = 1078468608.

The previous prime is 4718394229. The next prime is 4718394269. The reversal of 4718394240 is 424938174.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 4718394192 and 4718394201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69004 + ... + 119156.

Almost surely, 24718394240 is an apocalyptic number.

4718394240 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 4718394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747860680).

4718394240 is an abundant number, since it is smaller than the sum of its proper divisors (12777327120).

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

4718394240 is a wasteful number, since it uses less digits than its factorization.

4718394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50189 (or 50170 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4718394240 is about 68690.5687849504. The cubic root of 4718394240 is about 1677.2510599903.

The spelling of 4718394240 in words is "four billion, seven hundred eighteen million, three hundred ninety-four thousand, two hundred forty".