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5257860080 = 24511291791151
BaseRepresentation
bin1001110010110010…
…01001001111110000
3111120102120222002112
410321121021033300
541232003010310
62225422104452
7244203034064
oct47131111760
914512528075
105257860080
112258a1a110
121028a1b128
1365a3c3b15
1437c425aa4
1520b8de705
hex1396493f0

5257860080 has 160 divisors (see below), whose sum is σ = 13884825600. Its totient is φ = 1834112000.

The previous prime is 5257860037. The next prime is 5257860119. The reversal of 5257860080 is 800687525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4567505 + ... + 4568655.

It is an arithmetic number, because the mean of its divisors is an integer number (86780160).

Almost surely, 25257860080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5257860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942412800).

5257860080 is an abundant number, since it is smaller than the sum of its proper divisors (8626965520).

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

5257860080 is a wasteful number, since it uses less digits than its factorization.

5257860080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 5257860080 is about 72511.1031497935. The cubic root of 5257860080 is about 1738.8802501829.

The spelling of 5257860080 in words is "five billion, two hundred fifty-seven million, eight hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 179 220 232 290 319 358 440 464 580 638 716 880 895 1151 1160 1276 1432 1595 1790 1969 2302 2320 2552 2864 3190 3580 3938 4604 5104 5191 5755 6380 7160 7876 9208 9845 10382 11510 12661 12760 14320 15752 18416 19690 20764 23020 25322 25520 25955 31504 33379 39380 41528 46040 50644 51910 57101 63305 66758 78760 83056 92080 101288 103820 114202 126610 133516 157520 166895 202576 206029 207640 228404 253220 267032 285505 333790 367169 412058 415280 456808 506440 534064 571010 667580 734338 824116 913616 1012880 1030145 1142020 1335160 1468676 1648232 1835845 2060290 2266319 2284040 2670320 2937352 3296464 3671690 4120580 4532638 4568080 5874704 5974841 7343380 8241160 9065276 11331595 11949682 14686760 16482320 18130552 22663190 23899364 29373520 29874205 36261104 45326380 47798728 59748410 65723251 90652760 95597456 119496820 131446502 181305520 238993640 262893004 328616255 477987280 525786008 657232510 1051572016 1314465020 2628930040 5257860080