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5388042240 = 216345729
BaseRepresentation
bin1010000010010011…
…10000000000000000
3111220111112220110000
411001021300000000
542013314322430
62250352240000
7250343413650
oct50111600000
914814486400
105388042240
112315455979
121064540000
1367b374499
14391832360
15218056e60
hex141270000

5388042240 has 680 divisors, whose sum is σ = 22837811040. Its totient is φ = 1189085184.

The previous prime is 5388042239. The next prime is 5388042241. The reversal of 5388042240 is 422408835.

5388042240 is a `hidden beast` number, since 538 + 80 + 4 + 2 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5388042239) and next prime (5388042241).

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 = 5388042195 and 5388042204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5388042241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185794546 + ... + 185794574.

Almost surely, 25388042240 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 5388042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418905520).

5388042240 is an abundant number, since it is smaller than the sum of its proper divisors (17449768800).

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

5388042240 is an frugal number, since it uses more digits than its factorization.

5388042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5388042240 is about 73403.2849401170. The cubic root of 5388042240 is about 1753.1146968996.

The spelling of 5388042240 in words is "five billion, three hundred eighty-eight million, forty-two thousand, two hundred forty".