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4051000000 = 26564051
BaseRepresentation
bin1111000101110101…
…0101101011000000
3101110022200010022001
43301131111223000
531244024000000
61505550553344
7202246634425
oct36135255300
911408603261
104051000000
111799758293
12950808854
134c736a028
142a602bd4c
1518a99b46a
hexf1755ac0

4051000000 has 98 divisors (see below), whose sum is σ = 10050730724. Its totient is φ = 1620000000.

The previous prime is 4050999929. The next prime is 4051000001. The reversal of 4051000000 is 1504.

4051000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (4051000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 997975 + ... + 1002025.

Almost surely, 24051000000 is an apocalyptic number.

4051000000 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 4051000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025365362).

4051000000 is an abundant number, since it is smaller than the sum of its proper divisors (5999730724).

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

4051000000 is an frugal number, since it uses more digits than its factorization.

4051000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 4051000000 is about 63647.4665638783. The cubic root of 4051000000 is about 1594.1190353936.

Adding to 4051000000 its reverse (1504), we get a palindrome (4051001504).

It can be divided in two parts, 405 and 1000000, that added together give a triangular number (1000405 = T1414).

The spelling of 4051000000 in words is "four billion, fifty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 4051 5000 6250 8000 8102 10000 12500 15625 16204 20000 20255 25000 31250 32408 40000 40510 50000 62500 64816 81020 100000 101275 125000 129632 162040 200000 202550 250000 259264 324080 405100 500000 506375 648160 810200 1000000 1012750 1296320 1620400 2025500 2531875 3240800 4051000 5063750 6481600 8102000 10127500 12659375 16204000 20255000 25318750 32408000 40510000 50637500 63296875 81020000 101275000 126593750 162040000 202550000 253187500 405100000 506375000 810200000 1012750000 2025500000 4051000000