Search a number
-
+
542393874 = 2331121719257
BaseRepresentation
bin100000010101000…
…100011000010010
31101210121110112000
4200111010120102
52102323100444
6125453214430
716304162151
oct4025043022
91353543460
10542393874
11259192600
12131791416
13884a9429
145206d598
153293e469
hex20544612

542393874 has 192 divisors, whose sum is σ = 1482364800. Its totient is φ = 145981440.

The previous prime is 542393867. The next prime is 542393897. The reversal of 542393874 is 478393245.

542393874 is a `hidden beast` number, since 542 + 3 + 9 + 38 + 74 = 666.

It is a super-2 number, since 2×5423938742 = 588382229105455752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2110354 + ... + 2110610.

It is an arithmetic number, because the mean of its divisors is an integer number (7720650).

Almost surely, 2542393874 is an apocalyptic number.

542393874 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 542393874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741182400).

542393874 is an abundant number, since it is smaller than the sum of its proper divisors (939970926).

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

542393874 is a wasteful number, since it uses less digits than its factorization.

542393874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 542393874 is about 23289.3510858504. The cubic root of 542393874 is about 815.5268396600.

The spelling of 542393874 in words is "five hundred forty-two million, three hundred ninety-three thousand, eight hundred seventy-four".