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4023625300 = 2252294672971
BaseRepresentation
bin1110111111010011…
…1010011001010100
3101101102011100021021
43233310322121110
531220022002200
61503132130524
7201465152002
oct35764723124
911342140237
104023625300
111785260272
12943606a44
134c17a3c96
142a2543a72
1518839041a
hexefd3a654

4023625300 has 72 divisors (see below), whose sum is σ = 9054732960. Its totient is φ = 1550102400.

The previous prime is 4023625289. The next prime is 4023625343. The reversal of 4023625300 is 35263204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 1352815 + ... + 1355785.

It is an arithmetic number, because the mean of its divisors is an integer number (125760180).

Almost surely, 24023625300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023625300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527366480).

4023625300 is an abundant number, since it is smaller than the sum of its proper divisors (5031107660).

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

4023625300 is a wasteful number, since it uses less digits than its factorization.

4023625300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 4023625300 is about 63432.0526232598. The cubic root of 4023625300 is about 1590.5201546990.

Adding to 4023625300 its reverse (35263204), we get a palindrome (4058888504).

It can be divided in two parts, 40236 and 25300, that added together give a 16-th power (65536 = 216).

The spelling of 4023625300 in words is "four billion, twenty-three million, six hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 467 580 725 934 1450 1868 2335 2900 2971 4670 5942 9340 11675 11884 13543 14855 23350 27086 29710 46700 54172 59420 67715 74275 86159 135430 148550 172318 270860 297100 338575 344636 430795 677150 861590 1354300 1387457 1723180 2153975 2774914 4307950 5549828 6937285 8615900 13874570 27749140 34686425 40236253 69372850 80472506 138745700 160945012 201181265 402362530 804725060 1005906325 2011812650 4023625300