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5152156000 = 25531775767
BaseRepresentation
bin1001100110001011…
…11010100101100000
3111022001200122100121
410303011322211200
541022422443000
62211124330024
7241450413655
oct46305724540
914261618317
105152156000
112204292072
12bb9543914
13641533c24
1436c38bc2c
152024aeb1a
hex13317a960

5152156000 has 96 divisors (see below), whose sum is σ = 13403662272. Its totient is φ = 1939609600.

The previous prime is 5152155991. The next prime is 5152156001. The reversal of 5152156000 is 6512515.

It is a super-2 number, since 2×51521560002 = 53089422896672000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5152156001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30117 + ... + 105883.

It is an arithmetic number, because the mean of its divisors is an integer number (139621482).

Almost surely, 25152156000 is an apocalyptic number.

5152156000 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 5152156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701831136).

5152156000 is an abundant number, since it is smaller than the sum of its proper divisors (8251506272).

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

5152156000 is a wasteful number, since it uses less digits than its factorization.

5152156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75809 (or 75791 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 5152156000 is about 71778.5204639940. The cubic root of 5152156000 is about 1727.1484537468.

Adding to 5152156000 its reverse (6512515), we get a palindrome (5158668515).

The spelling of 5152156000 in words is "five billion, one hundred fifty-two million, one hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 75767 151534 303068 378835 606136 757670 1212272 1288039 1515340 1894175 2424544 2576078 3030680 3788350 5152156 6061360 6440195 7576700 9470875 10304312 12122720 12880390 15153400 18941750 20608624 25760780 30306800 32200975 37883500 41217248 51521560 60613600 64401950 75767000 103043120 128803900 151534000 161004875 206086240 257607800 303068000 322009750 515215600 644019500 1030431200 1288039000 2576078000 5152156000