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542413440 = 2732594169
BaseRepresentation
bin100000010101001…
…001001010000000
31101210122110100200
4200111021022000
52102324212230
6125453445200
716304303202
oct4025111200
91353573320
10542413440
112591a6278
121317a0800
13884b52ca
1452076772
1532945160
hex20549280

542413440 has 96 divisors (see below), whose sum is σ = 1873041300. Its totient is φ = 144642048.

The previous prime is 542413429. The next prime is 542413489. The reversal of 542413440 is 44314245.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 512207424 + 30206016 = 22632^2 + 5496^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41325 + ... + 52844.

Almost surely, 2542413440 is an apocalyptic number.

It is an amenable number.

542413440 is an abundant number, since it is smaller than the sum of its proper divisors (1330627860).

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

542413440 is a wasteful number, since it uses less digits than its factorization.

542413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94194 (or 94179 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 542413440 is about 23289.7711452904. The cubic root of 542413440 is about 815.5366458218.

Adding to 542413440 its reverse (44314245), we get a palindrome (586727685).

The spelling of 542413440 in words is "five hundred forty-two million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 94169 188338 282507 376676 470845 565014 753352 847521 941690 1130028 1412535 1506704 1695042 1883380 2260056 2825070 3013408 3390084 3766760 4237605 4520112 5650140 6026816 6780168 7533520 8475210 9040224 11300280 12053632 13560336 15067040 16950420 18080448 22600560 27120672 30134080 33900840 36160896 45201120 54241344 60268160 67801680 90402240 108482688 135603360 180804480 271206720 542413440