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5029270800 = 243527159029
BaseRepresentation
bin1001010111100010…
…01001010100010000
3110222111110102112220
410223301021110100
540244443131200
62151014421040
7235426045041
oct45361112420
913874412486
105029270800
11215098a654
12b84361780
13621c399a8
14359d208c8
151e67d94a0
hex12bc49510

5029270800 has 120 divisors (see below), whose sum is σ = 16337615040. Its totient is φ = 1322227200.

The previous prime is 5029270793. The next prime is 5029270819. The reversal of 5029270800 is 80729205.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 55686 + ... + 114714.

It is an arithmetic number, because the mean of its divisors is an integer number (136146792).

Almost surely, 25029270800 is an apocalyptic number.

5029270800 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 5029270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168807520).

5029270800 is an abundant number, since it is smaller than the sum of its proper divisors (11308344240).

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

5029270800 is a wasteful number, since it uses less digits than its factorization.

5029270800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59121 (or 59110 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5029270800 is about 70917.3518964153. The cubic root of 5029270800 is about 1713.3062805999.

The spelling of 5029270800 in words is "five billion, twenty-nine million, two hundred seventy thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 71 75 80 100 120 142 150 200 213 240 284 300 355 400 426 568 600 710 852 1065 1136 1200 1420 1704 1775 2130 2840 3408 3550 4260 5325 5680 7100 8520 10650 14200 17040 21300 28400 42600 59029 85200 118058 177087 236116 295145 354174 472232 590290 708348 885435 944464 1180580 1416696 1475725 1770870 2361160 2833392 2951450 3541740 4191059 4427175 4722320 5902900 7083480 8382118 8854350 11805800 12573177 14166960 16764236 17708700 20955295 23611600 25146354 33528472 35417400 41910590 50292708 62865885 67056944 70834800 83821180 100585416 104776475 125731770 167642360 201170832 209552950 251463540 314329425 335284720 419105900 502927080 628658850 838211800 1005854160 1257317700 1676423600 2514635400 5029270800