Search a number
-
+
4629250000 = 245618517
BaseRepresentation
bin1000100111110110…
…01011111111010000
3102221121202021011201
410103323023333100
533440042000000
62043204520544
7222500655454
oct42373137720
912847667151
104629250000
111a66100051
12a923b0154
1358a0bbaab
1431cb52664
151c161e96a
hex113ecbfd0

4629250000 has 70 divisors (see below), whose sum is σ = 11211926798. Its totient is φ = 1851600000.

The previous prime is 4629249983. The next prime is 4629250013. The reversal of 4629250000 is 529264.

It can be written as a sum of positive squares in 7 ways, for example, as 4530366864 + 98883136 = 67308^2 + 9944^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 240742 + ... + 259258.

Almost surely, 24629250000 is an apocalyptic number.

4629250000 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 4629250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605963399).

4629250000 is an abundant number, since it is smaller than the sum of its proper divisors (6582676798).

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

4629250000 is an frugal number, since it uses more digits than its factorization.

4629250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18555 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 4629250000 is about 68038.5919901345. The cubic root of 4629250000 is about 1666.6211098659.

Adding to 4629250000 its reverse (529264), we get a palindrome (4629779264).

The spelling of 4629250000 in words is "four billion, six hundred twenty-nine million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 10000 12500 15625 18517 25000 31250 37034 50000 62500 74068 92585 125000 148136 185170 250000 296272 370340 462925 740680 925850 1481360 1851700 2314625 3703400 4629250 7406800 9258500 11573125 18517000 23146250 37034000 46292500 57865625 92585000 115731250 185170000 231462500 289328125 462925000 578656250 925850000 1157312500 2314625000 4629250000