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4706450240 = 26514707657
BaseRepresentation
bin1000110001000011…
…01011101101000000
3110011000000102222212
410120201223231000
534114322401430
62055003321252
7224426111162
oct43041535500
913130012885
104706450240
111aa57397a8
12ab4220228
135a00ab9cb
143290ca932
151c82bdb95
hex11886bb40

4706450240 has 28 divisors (see below), whose sum is σ = 11207235396. Its totient is φ = 1882579968.

The previous prime is 4706450239. The next prime is 4706450269. The reversal of 4706450240 is 420546074.

It can be written as a sum of positive squares in 2 ways, for example, as 3464028736 + 1242421504 = 58856^2 + 35248^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4706450197 and 4706450206.

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 3 ways as a sum of consecutive naturals, for example, 7353509 + ... + 7354148.

It is an arithmetic number, because the mean of its divisors is an integer number (400258407).

Almost surely, 24706450240 is an apocalyptic number.

4706450240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4706450240 is an abundant number, since it is smaller than the sum of its proper divisors (6500785156).

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

4706450240 is a wasteful number, since it uses less digits than its factorization.

4706450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14707674 (or 14707664 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 4706450240 is about 68603.5730847891. The cubic root of 4706450240 is about 1675.8346166575.

The spelling of 4706450240 in words is "four billion, seven hundred six million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 14707657 29415314 58830628 73538285 117661256 147076570 235322512 294153140 470645024 588306280 941290048 1176612560 2353225120 4706450240