Search a number
-
+
5772211400 = 2352198111873
BaseRepresentation
bin1010110000000110…
…01111010011001000
3112220021102201110102
411120003033103020
543310141231100
62352434304532
7263016662444
oct53003172310
915807381412
105772211400
1124a229894a
121151128148
1370cb32207
143ca875824
1523bb3ecd5
hex1580cf4c8

5772211400 has 96 divisors (see below), whose sum is σ = 14151698400. Its totient is φ = 2183500800.

The previous prime is 5772211391. The next prime is 5772211427. The reversal of 5772211400 is 41122775.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3080864 + ... + 3082736.

It is an arithmetic number, because the mean of its divisors is an integer number (147413525).

Almost surely, 25772211400 is an apocalyptic number.

5772211400 is a gapful number since it is divisible by the number (50) 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 5772211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075849200).

5772211400 is an abundant number, since it is smaller than the sum of its proper divisors (8379487000).

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

5772211400 is a wasteful number, since it uses less digits than its factorization.

5772211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 5772211400 is about 75975.0709114509. The cubic root of 5772211400 is about 1793.8277689698.

The spelling of 5772211400 in words is "five billion, seven hundred seventy-two million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 811 950 1622 1873 1900 3244 3746 3800 4055 6488 7492 8110 9365 14984 15409 16220 18730 20275 30818 32440 35587 37460 40550 46825 61636 71174 74920 77045 81100 93650 123272 142348 154090 162200 177935 187300 284696 308180 355870 374600 385225 616360 711740 770450 889675 1423480 1519003 1540900 1779350 3038006 3081800 3558700 6076012 7117400 7595015 12152024 15190030 28861057 30380060 37975075 57722114 60760120 75950150 115444228 144305285 151900300 230888456 288610570 303800600 577221140 721526425 1154442280 1443052850 2886105700 5772211400