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5251343200 = 255229461491
BaseRepresentation
bin1001110010000000…
…10010001101100000
3111112222022212121121
410321000102031200
541223320440300
62225030302024
7244063452325
oct47100221540
914488285547
105251343200
112255278964
1210267b7914
13658c5178c
1437b60ab4c
1520b05381a
hex139012360

5251343200 has 144 divisors (see below), whose sum is σ = 13317741360. Its totient is φ = 2019584000.

The previous prime is 5251343131. The next prime is 5251343267. The reversal of 5251343200 is 23431525.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10694955 + ... + 10695445.

It is an arithmetic number, because the mean of its divisors is an integer number (92484315).

Almost surely, 25251343200 is an apocalyptic number.

5251343200 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 5251343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658870680).

5251343200 is an abundant number, since it is smaller than the sum of its proper divisors (8066398160).

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

5251343200 is a wasteful number, since it uses less digits than its factorization.

5251343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5251343200 is about 72466.1520987557. The cubic root of 5251343200 is about 1738.1615319944.

Adding to 5251343200 its reverse (23431525), we get a palindrome (5274774725).

The spelling of 5251343200 in words is "five billion, two hundred fifty-one million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 461 464 491 580 725 800 922 928 982 1160 1450 1844 1964 2305 2320 2455 2900 3688 3928 4610 4640 4910 5800 7376 7856 9220 9820 11525 11600 12275 13369 14239 14752 15712 18440 19640 23050 23200 24550 26738 28478 36880 39280 46100 49100 53476 56956 66845 71195 73760 78560 92200 98200 106952 113912 133690 142390 184400 196400 213904 226351 227824 267380 284780 334225 355975 368800 392800 427808 452702 455648 534760 569560 668450 711950 905404 1069520 1131755 1139120 1336900 1423900 1810808 2139040 2263510 2278240 2673800 2847800 3621616 4527020 5347600 5658775 5695600 6564179 7243232 9054040 10695200 11317550 11391200 13128358 18108080 22635100 26256716 32820895 36216160 45270200 52513432 65641790 90540400 105026864 131283580 164104475 181080800 210053728 262567160 328208950 525134320 656417900 1050268640 1312835800 2625671600 5251343200