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5072753600 = 26528093919
BaseRepresentation
bin1001011100101110…
…00001001111000000
3111002112021120201222
410232113001033000
540342111103400
62155210414212
7236464460045
oct45627011700
914075246658
105072753600
112173489952
12b96a31368
1362ac52865
143619dd1cc
151ea528185
hex12e5c13c0

5072753600 has 84 divisors (see below), whose sum is σ = 12500762400. Its totient is φ = 2026076160.

The previous prime is 5072753599. The next prime is 5072753611. The reversal of 5072753600 is 63572705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1292441 + ... + 1296359.

It is an arithmetic number, because the mean of its divisors is an integer number (148818600).

Almost surely, 25072753600 is an apocalyptic number.

5072753600 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 5072753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250381200).

5072753600 is an abundant number, since it is smaller than the sum of its proper divisors (7428008800).

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

5072753600 is a wasteful number, since it uses less digits than its factorization.

5072753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 5072753600 is about 71223.2658616551. The cubic root of 5072753600 is about 1718.2298355845.

The spelling of 5072753600 in words is "five billion, seventy-two million, seven hundred fifty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 809 1600 1618 3236 3919 4045 6472 7838 8090 12944 15676 16180 19595 20225 25888 31352 32360 39190 40450 51776 62704 64720 78380 80900 97975 125408 129440 156760 161800 195950 250816 258880 313520 323600 391900 627040 647200 783800 1254080 1294400 1567600 3135200 3170471 6270400 6340942 12681884 15852355 25363768 31704710 50727536 63409420 79261775 101455072 126818840 158523550 202910144 253637680 317047100 507275360 634094200 1014550720 1268188400 2536376800 5072753600