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4724490240 = 21734589
BaseRepresentation
bin1000110011001101…
…00000000000000000
3110012020221222020000
410121212200000000
534133432141430
62100450120000
7225035335011
oct43146400000
913166858200
104724490240
112004940498
12aba280000
135a3a56c72
1432b665008
151c9b83e60
hex1199a0000

4724490240 has 360 divisors, whose sum is σ = 17128423620. Its totient is φ = 1245708288.

The previous prime is 4724490209. The next prime is 4724490259. The reversal of 4724490240 is 420944274.

It can be written as a sum of positive squares in 2 ways, for example, as 4464377856 + 260112384 = 66816^2 + 16128^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4724490195 and 4724490204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53084116 + ... + 53084204.

Almost surely, 24724490240 is an apocalyptic number.

4724490240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4724490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564211810).

4724490240 is an abundant number, since it is smaller than the sum of its proper divisors (12403933380).

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

4724490240 is an frugal number, since it uses more digits than its factorization.

4724490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4724490240 is about 68734.9273659324. The cubic root of 4724490240 is about 1677.9730656740.

The spelling of 4724490240 in words is "four billion, seven hundred twenty-four million, four hundred ninety thousand, two hundred forty".