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542025400 = 23527387161
BaseRepresentation
bin100000010011101…
…010011010111000
31101202220202001211
4200103222122320
52102224303100
6125441252504
716301065660
oct4023523270
91352822054
10542025400
11258a60784
12131634134
13883aa7b7
1451db51a0
15328ba1ba
hex204ea6b8

542025400 has 48 divisors (see below), whose sum is σ = 1440242640. Its totient is φ = 185836800.

The previous prime is 542025391. The next prime is 542025413. The reversal of 542025400 is 4520245.

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 11 ways as a sum of consecutive naturals, for example, 192181 + ... + 194980.

It is an arithmetic number, because the mean of its divisors is an integer number (30005055).

Almost surely, 2542025400 is an apocalyptic number.

542025400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542025400 is an abundant number, since it is smaller than the sum of its proper divisors (898217240).

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

542025400 is a wasteful number, since it uses less digits than its factorization.

542025400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387184 (or 387175 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 542025400 is about 23281.4389589647. The cubic root of 542025400 is about 815.3421224124.

Adding to 542025400 its reverse (4520245), we get a palindrome (546545645).

The spelling of 542025400 in words is "five hundred forty-two million, twenty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 387161 774322 1548644 1935805 2710127 3097288 3871610 5420254 7743220 9679025 10840508 13550635 15486440 19358050 21681016 27101270 38716100 54202540 67753175 77432200 108405080 135506350 271012700 542025400