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47201140 = 22572331447
BaseRepresentation
bin1011010000001…
…1101101110100
310021211001210101
42310003231310
544040414030
64403403444
71112126440
oct264035564
9107731711
1047201140
1124709a08
1213983584
139a1848c
1463a9820
1542257ca
hex2d03b74

47201140 has 48 divisors (see below), whose sum is σ = 113847552. Its totient is φ = 16102656.

The previous prime is 47201107. The next prime is 47201173. The reversal of 47201140 is 4110274.

47201140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47201107) and next prime (47201173).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 31897 + ... + 33343.

It is an arithmetic number, because the mean of its divisors is an integer number (2371824).

Almost surely, 247201140 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 47201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56923776).

47201140 is an abundant number, since it is smaller than the sum of its proper divisors (66646412).

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

47201140 is a wasteful number, since it uses less digits than its factorization.

47201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 47201140 is about 6870.3085811337. The cubic root of 47201140 is about 361.3966833670.

The spelling of 47201140 in words is "forty-seven million, two hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 233 466 932 1165 1447 1631 2330 2894 3262 4660 5788 6524 7235 8155 10129 14470 16310 20258 28940 32620 40516 50645 101290 202580 337151 674302 1348604 1685755 2360057 3371510 4720114 6743020 9440228 11800285 23600570 47201140