Search a number
-
+
5052552100 = 2252131449859
BaseRepresentation
bin1001011010010011…
…11101001110100100
3111001010021020111021
410231021331032210
540321423131400
62153205420524
7236130661411
oct45511751644
914033236437
105052552100
1121630411a2
12b9010a744
136269cb7cb
1435d061108
151e888771a
hex12d27d3a4

5052552100 has 72 divisors (see below), whose sum is σ = 11085228000. Its totient is φ = 1998796800.

The previous prime is 5052552083. The next prime is 5052552137. The reversal of 5052552100 is 12552505.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5881471 + ... + 5882329.

It is an arithmetic number, because the mean of its divisors is an integer number (153961500).

Almost surely, 25052552100 is an apocalyptic number.

5052552100 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 5052552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542614000).

5052552100 is an abundant number, since it is smaller than the sum of its proper divisors (6032675900).

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

5052552100 is a wasteful number, since it uses less digits than its factorization.

5052552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

The square root of 5052552100 is about 71081.3062626173. The cubic root of 5052552100 is about 1715.9459347093.

The spelling of 5052552100 in words is "five billion, fifty-two million, five hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 449 524 655 859 898 1310 1718 1796 2245 2620 3275 3436 4295 4490 6550 8590 8980 11225 13100 17180 21475 22450 42950 44900 58819 85900 112529 117638 225058 235276 294095 385691 450116 562645 588190 771382 1125290 1176380 1470475 1542764 1928455 2250580 2813225 2940950 3856910 5626450 5881900 7713820 9642275 11252900 19284550 38569100 50525521 101051042 202102084 252627605 505255210 1010510420 1263138025 2526276050 5052552100