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4050053300 = 22521937531087
BaseRepresentation
bin1111000101100110…
…1110100010110100
3101110020220000200002
43301121232202310
531243303201200
61505514410432
7202235612366
oct36131564264
911406800602
104050053300
111799170a97
12950430a18
134c70c8157
142a5c62d36
1518a860bd5
hexf166e8b4

4050053300 has 144 divisors (see below), whose sum is σ = 9689379840. Its totient is φ = 1463754240.

The previous prime is 4050053291. The next prime is 4050053333. The reversal of 4050053300 is 33500504.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 3725357 + ... + 3726443.

It is an arithmetic number, because the mean of its divisors is an integer number (67287360).

Almost surely, 24050053300 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 4050053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844689920).

4050053300 is an abundant number, since it is smaller than the sum of its proper divisors (5639326540).

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

4050053300 is a wasteful number, since it uses less digits than its factorization.

4050053300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 4050053300 is about 63640.0290697608. The cubic root of 4050053300 is about 1593.9948462990.

Adding to 4050053300 its reverse (33500504), we get a palindrome (4083553804).

The spelling of 4050053300 in words is "four billion, fifty million, fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 37 38 50 53 74 76 95 100 106 148 185 190 212 265 370 380 475 530 703 740 925 950 1007 1060 1087 1325 1406 1850 1900 1961 2014 2174 2650 2812 3515 3700 3922 4028 4348 5035 5300 5435 7030 7844 9805 10070 10870 14060 17575 19610 20140 20653 21740 25175 27175 35150 37259 39220 40219 41306 49025 50350 54350 57611 70300 74518 80438 82612 98050 100700 103265 108700 115222 149036 160876 186295 196100 201095 206530 230444 288055 372590 402190 413060 516325 576110 745180 764161 804380 931475 1005475 1032650 1094609 1152220 1440275 1528322 1862950 2010950 2065300 2131607 2189218 2880550 3056644 3725900 3820805 4021900 4263214 4378436 5473045 5761100 7641610 8526428 10658035 10946090 15283220 19104025 21316070 21892180 27365225 38208050 40500533 42632140 53290175 54730450 76416100 81001066 106580350 109460900 162002132 202502665 213160700 405005330 810010660 1012513325 2025026650 4050053300