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5213748200 = 2352194213259
BaseRepresentation
bin1001101101100001…
…10111101111101000
3111110100120211222012
410312300313233220
541134204420300
62221204415052
7243126062033
oct46660675750
914410524865
105213748200
112236030211
1210160a7488
1365121a80b
1437662201a
15207ac9435
hex136c37be8

5213748200 has 96 divisors (see below), whose sum is σ = 12794196000. Its totient is φ = 1970438400.

The previous prime is 5213748193. The next prime is 5213748203. The reversal of 5213748200 is 28473125.

It is not an unprimeable number, because it can be changed into a prime (5213748203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1598171 + ... + 1601429.

It is an arithmetic number, because the mean of its divisors is an integer number (133272875).

Almost surely, 25213748200 is an apocalyptic number.

5213748200 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 5213748200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397098000).

5213748200 is an abundant number, since it is smaller than the sum of its proper divisors (7580447800).

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

5213748200 is a wasteful number, since it uses less digits than its factorization.

5213748200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 5213748200 is about 72206.2891997643. The cubic root of 5213748200 is about 1734.0036912350.

The spelling of 5213748200 in words is "five billion, two hundred thirteen million, seven hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 421 475 760 842 950 1684 1900 2105 3259 3368 3800 4210 6518 7999 8420 10525 13036 15998 16295 16840 21050 26072 31996 32590 39995 42100 61921 63992 65180 79990 81475 84200 123842 130360 159980 162950 199975 247684 309605 319960 325900 399950 495368 619210 651800 799900 1238420 1372039 1548025 1599800 2476840 2744078 3096050 5488156 6192100 6860195 10976312 12384200 13720390 26068741 27440780 34300975 52137482 54881560 68601950 104274964 130343705 137203900 208549928 260687410 274407800 521374820 651718525 1042749640 1303437050 2606874100 5213748200