Search a number
-
+
5251131200 = 26527468851
BaseRepresentation
bin1001110001111110…
…11110011101000000
3111112221221002210202
410320333132131000
541223242144300
62225021544332
7244061610260
oct47077363500
914487832722
105251131200
112255143657
1210267150a8
13658ba9133
1437b5937a0
1520b010ad5
hex138fde740

5251131200 has 84 divisors (see below), whose sum is σ = 14766962592. Its totient is φ = 1800384000.

The previous prime is 5251131187. The next prime is 5251131209. The reversal of 5251131200 is 21311525.

It is a happy number.

It is a super-2 number, since 2×52511312002 = 55148757759226880000, which contains 22 as substring.

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 (5251131209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223226 + ... + 245625.

Almost surely, 25251131200 is an apocalyptic number.

5251131200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5251131200 is an abundant number, since it is smaller than the sum of its proper divisors (9515831392).

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

5251131200 is a wasteful number, since it uses less digits than its factorization.

5251131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468880 (or 468865 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 5251131200 is about 72464.6893321154. The cubic root of 5251131200 is about 1738.1381414579.

Adding to 5251131200 its reverse (21311525), we get a palindrome (5272442725).

The spelling of 5251131200 in words is "five billion, two hundred fifty-one million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 468851 937702 1875404 2344255 3281957 3750808 4688510 6563914 7501616 9377020 11721275 13127828 15003232 16409785 18754040 23442550 26255656 30006464 32819570 37508080 46885100 52511312 65639140 75016160 82048925 93770200 105022624 131278280 150032320 164097850 187540400 210045248 262556560 328195700 375080800 525113120 656391400 750161600 1050226240 1312782800 2625565600 5251131200