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5052107000 = 23537017207
BaseRepresentation
bin1001011010010000…
…10000100011111000
3111001002102121221002
410231020100203320
540321314411000
62153152104132
7236124125633
oct45510204370
914032377832
105052107000
112162867846
12b8bb35048
136268a4035
1435cd86c1a
151e87ea8d5
hex12d2108f8

5052107000 has 64 divisors (see below), whose sum is σ = 11840437440. Its totient is φ = 2017680000.

The previous prime is 5052106999. The next prime is 5052107009. The reversal of 5052107000 is 7012505.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5052107009) 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 15 ways as a sum of consecutive naturals, for example, 697397 + ... + 704603.

It is an arithmetic number, because the mean of its divisors is an integer number (185006835).

Almost surely, 25052107000 is an apocalyptic number.

5052107000 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 5052107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920218720).

5052107000 is an abundant number, since it is smaller than the sum of its proper divisors (6788330440).

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

5052107000 is a wasteful number, since it uses less digits than its factorization.

5052107000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929 (or 7915 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 5052107000 is about 71078.1752720200. The cubic root of 5052107000 is about 1715.8955449954.

Adding to 5052107000 its reverse (7012505), we get a palindrome (5059119505).

The spelling of 5052107000 in words is "five billion, fifty-two million, one hundred seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 701 1000 1402 2804 3505 5608 7010 7207 14020 14414 17525 28040 28828 35050 36035 57656 70100 72070 87625 140200 144140 175250 180175 288280 350500 360350 701000 720700 900875 1441400 1801750 3603500 5052107 7207000 10104214 20208428 25260535 40416856 50521070 101042140 126302675 202084280 252605350 505210700 631513375 1010421400 1263026750 2526053500 5052107000