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5435678460 = 2235194768139
BaseRepresentation
bin1010000111111110…
…11101111011111100
3112000211012002001110
411003333131323330
542113013202320
62255213242020
7251462335032
oct50377357374
915024162043
105435678460
11233a331753
121078493310
136881b29b4
14397cb2552
1521c3165e0
hex143fddefc

5435678460 has 48 divisors (see below), whose sum is σ = 16020950400. Its totient is φ = 1373223744.

The previous prime is 5435678459. The next prime is 5435678483. The reversal of 5435678460 is 648765345.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382930 + ... + 2385209.

It is an arithmetic number, because the mean of its divisors is an integer number (333769800).

Almost surely, 25435678460 is an apocalyptic number.

It is an amenable number.

5435678460 is an abundant number, since it is smaller than the sum of its proper divisors (10585271940).

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

5435678460 is a wasteful number, since it uses less digits than its factorization.

5435678460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768170 (or 4768168 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The square root of 5435678460 is about 73727.0537862459. The cubic root of 5435678460 is about 1758.2660328581.

The spelling of 5435678460 in words is "five billion, four hundred thirty-five million, six hundred seventy-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 4768139 9536278 14304417 19072556 23840695 28608834 47681390 57217668 71522085 90594641 95362780 143044170 181189282 271783923 286088340 362378564 452973205 543567846 905946410 1087135692 1358919615 1811892820 2717839230 5435678460