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4048790000 = 24541133583
BaseRepresentation
bin1111000101010011…
…1010000111110000
3101110011111211202012
43301110322013300
531242442240000
61505431342052
7202222101323
oct36124720760
911404454665
104048790000
111798488942
1294bb21928
134c6a75138
142a5a147ba
1518a6b1735
hexf153a1f0

4048790000 has 100 divisors (see below), whose sum is σ = 9892033536. Its totient is φ = 1604736000.

The previous prime is 4048789993. The next prime is 4048790003. The reversal of 4048790000 is 978404.

It is a happy number.

4048790000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048790003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1128209 + ... + 1131791.

Almost surely, 24048790000 is an apocalyptic number.

4048790000 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 4048790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946016768).

4048790000 is an abundant number, since it is smaller than the sum of its proper divisors (5843243536).

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

4048790000 is a wasteful number, since it uses less digits than its factorization.

4048790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 4048790000 is about 63630.1029387820. The cubic root of 4048790000 is about 1593.8290951390.

The spelling of 4048790000 in words is "four billion, forty-eight million, seven hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 625 904 1000 1130 1250 1808 2000 2260 2500 2825 3583 4520 5000 5650 7166 9040 10000 11300 14125 14332 17915 22600 28250 28664 35830 45200 56500 57328 70625 71660 89575 113000 141250 143320 179150 226000 282500 286640 358300 404879 447875 565000 716600 809758 895750 1130000 1433200 1619516 1791500 2024395 2239375 3239032 3583000 4048790 4478750 6478064 7166000 8097580 8957500 10121975 16195160 17915000 20243950 32390320 35830000 40487900 50609875 80975800 101219750 161951600 202439500 253049375 404879000 506098750 809758000 1012197500 2024395000 4048790000