Search a number
-
+
5077900 = 22521729103
BaseRepresentation
bin10011010111101110001100
3100112222120101
4103113232030
52244443100
6300500444
761106242
oct23275614
910488511
105077900
112959113
12184a724
13108a399
14962792
156a486a
hex4d7b8c

5077900 has 72 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1827840.

The previous prime is 5077889. The next prime is 5077901. The reversal of 5077900 is 97705.

It is not an unprimeable number, because it can be changed into a prime (5077901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49249 + ... + 49351.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 25077900 is an apocalyptic number.

5077900 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 5077900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

5077900 is an abundant number, since it is smaller than the sum of its proper divisors (7108820).

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

5077900 is a wasteful number, since it uses less digits than its factorization.

5077900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 5077900 is about 2253.4196235943. The cubic root of 5077900 is about 171.8810697581.

The spelling of 5077900 in words is "five million, seventy-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 103 116 145 170 206 290 340 412 425 493 515 580 725 850 986 1030 1450 1700 1751 1972 2060 2465 2575 2900 2987 3502 4930 5150 5974 7004 8755 9860 10300 11948 12325 14935 17510 24650 29870 35020 43775 49300 50779 59740 74675 87550 101558 149350 175100 203116 253895 298700 507790 1015580 1269475 2538950 5077900