Search a number
-
+
4026375540 = 22345111713291
BaseRepresentation
bin1110111111111101…
…1001110101110100
3101101121100001220000
43233333121311310
531221223004130
61503311111300
7201530425125
oct35777316564
911347301800
104026375540
1117868695a0
12944512530
134c2227a45
142a2a5c04c
15188735260
hexeffd9d74

4026375540 has 240 divisors, whose sum is σ = 14590787904. Its totient is φ = 918604800.

The previous prime is 4026375533. The next prime is 4026375553. The reversal of 4026375540 is 455736204.

4026375540 is a `hidden beast` number, since 40 + 2 + 6 + 3 + 75 + 540 = 666.

It is a super-3 number, since 3×40263755403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 4026375495 and 4026375504.

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 79 ways as a sum of consecutive naturals, for example, 296295 + ... + 309585.

Almost surely, 24026375540 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 4026375540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7295393952).

4026375540 is an abundant number, since it is smaller than the sum of its proper divisors (10564412364).

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

4026375540 is a wasteful number, since it uses less digits than its factorization.

4026375540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13340 (or 13329 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4026375540 is about 63453.7275500817. The cubic root of 4026375540 is about 1590.8824578092.

The spelling of 4026375540 in words is "four billion, twenty-six million, three hundred seventy-five thousand, five hundred forty".