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4378237920 = 25355716087
BaseRepresentation
bin1000001001111011…
…01001101111100000
3102022010102112100000
410010331221233200
532431312103140
62002240500000
7213332260020
oct40475515740
912263375300
104378237920
111947445a51
12a2231a600
1354a0b3834
142d7691a80
151a958aa30
hex104f69be0

4378237920 has 288 divisors, whose sum is σ = 17708640768. Its totient is φ = 1000677888.

The previous prime is 4378237889. The next prime is 4378237921. The reversal of 4378237920 is 297328734.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4378237921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264117 + ... + 280203.

It is an arithmetic number, because the mean of its divisors is an integer number (61488336).

Almost surely, 24378237920 is an apocalyptic number.

4378237920 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 4378237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854320384).

4378237920 is an abundant number, since it is smaller than the sum of its proper divisors (13330402848).

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

4378237920 is a wasteful number, since it uses less digits than its factorization.

4378237920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16124 (or 16104 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4378237920 is about 66168.2546241020. The cubic root of 4378237920 is about 1635.9365394449.

The spelling of 4378237920 in words is "four billion, three hundred seventy-eight million, two hundred thirty-seven thousand, nine hundred twenty".