Search a number
-
+
4606044240 = 243572741693
BaseRepresentation
bin1000100101000101…
…01010100001010000
3102220000002021212010
410102202222201100
533413121403430
62041015302520
7222066505260
oct42242524120
912800067763
104606044240
111a53aa0236
12a8667aa40
13585355485
14319a317a0
151be588cb0
hex1128aa850

4606044240 has 80 divisors (see below), whose sum is σ = 16318562688. Its totient is φ = 1052809728.

The previous prime is 4606044199. The next prime is 4606044269. The reversal of 4606044240 is 424406064.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4606044198 and 4606044207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1369167 + ... + 1372526.

Almost surely, 24606044240 is an apocalyptic number.

4606044240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4606044240 is an abundant number, since it is smaller than the sum of its proper divisors (11712518448).

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

4606044240 is a wasteful number, since it uses less digits than its factorization.

4606044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741716 (or 2741710 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4606044240 is about 67867.8439321598. The cubic root of 4606044240 is about 1663.8316000841.

The spelling of 4606044240 in words is "four billion, six hundred six million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2741693 5483386 8225079 10966772 13708465 16450158 19191851 21933544 27416930 32900316 38383702 41125395 43867088 54833860 57575553 65800632 76767404 82250790 95959255 109667720 115151106 131601264 153534808 164501580 191918510 219335440 230302212 287877765 307069616 329003160 383837020 460604424 575755530 658006320 767674040 921208848 1151511060 1535348080 2303022120 4606044240