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4000625000 = 235737173
BaseRepresentation
bin1110111001110100…
…1011000101101000
3101022210212210210022
43232131023011220
531143130000000
61500551140012
7201065515511
oct35635130550
911283783708
104000625000
111773280859
12937974608
134b9ab0038
1429d477a08
1518634a585
hexee74b168

4000625000 has 128 divisors (see below), whose sum is σ = 9685522080. Its totient is φ = 1548000000.

The previous prime is 4000624997. The next prime is 4000625053. The reversal of 4000625000 is 5260004.

It can be written as a sum of positive squares in 16 ways, for example, as 3494464996 + 506160004 = 59114^2 + 22498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4000625000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23124914 + ... + 23125086.

Almost surely, 24000625000 is an apocalyptic number.

4000625000 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 4000625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842761040).

4000625000 is an abundant number, since it is smaller than the sum of its proper divisors (5684897080).

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

4000625000 is an frugal number, since it uses more digits than its factorization.

4000625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4000625000 is about 63250.4940692166. The cubic root of 4000625000 is about 1587.4837248006.

Adding to 4000625000 its reverse (5260004), we get a palindrome (4005885004).

It can be divided in two parts, 4000 and 625000, that multiplied together give a square (2500000000 = 500002).

The spelling of 4000625000 in words is "four billion, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 173 185 200 250 296 346 370 500 625 692 740 865 925 1000 1250 1384 1480 1730 1850 2500 3125 3460 3700 4325 4625 5000 6250 6401 6920 7400 8650 9250 12500 12802 15625 17300 18500 21625 23125 25000 25604 31250 32005 34600 37000 43250 46250 51208 62500 64010 78125 86500 92500 108125 115625 125000 128020 156250 160025 173000 185000 216250 231250 256040 312500 320050 432500 462500 540625 578125 625000 640100 800125 865000 925000 1081250 1156250 1280200 1600250 2162500 2312500 2703125 2890625 3200500 4000625 4325000 4625000 5406250 5781250 6401000 8001250 10812500 11562500 13515625 16002500 20003125 21625000 23125000 27031250 32005000 40006250 54062500 80012500 100015625 108125000 160025000 200031250 400062500 500078125 800125000 1000156250 2000312500 4000625000