Search a number
-
+
4125454000 = 24537872621
BaseRepresentation
bin1111010111100101…
…0110111010110000
3101122111202202222121
43311321112322300
531422104012000
61521210444024
7204142531453
oct36571267260
911574682877
104125454000
111827790718
12971733614
13509907c55
142b1c8d49a
151922a6b1a
hexf5e56eb0

4125454000 has 80 divisors (see below), whose sum is σ = 9991833696. Its totient is φ = 1647456000.

The previous prime is 4125453977. The next prime is 4125454019. The reversal of 4125454000 is 4545214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×41254540002 = 34038741412232000000, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 1572690 + ... + 1575310.

Almost surely, 24125454000 is an apocalyptic number.

4125454000 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 4125454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995916848).

4125454000 is an abundant number, since it is smaller than the sum of its proper divisors (5866379696).

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

4125454000 is a wasteful number, since it uses less digits than its factorization.

4125454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 4125454000 is about 64229.6971812883. The cubic root of 4125454000 is about 1603.8260000349.

Adding to 4125454000 its reverse (4545214), we get a palindrome (4129999214).

The spelling of 4125454000 in words is "four billion, one hundred twenty-five million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 787 1000 1574 2000 2621 3148 3935 5242 6296 7870 10484 12592 13105 15740 19675 20968 26210 31480 39350 41936 52420 62960 65525 78700 98375 104840 131050 157400 196750 209680 262100 314800 327625 393500 524200 655250 787000 1048400 1310500 1574000 2062727 2621000 4125454 5242000 8250908 10313635 16501816 20627270 33003632 41254540 51568175 82509080 103136350 165018160 206272700 257840875 412545400 515681750 825090800 1031363500 2062727000 4125454000