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542954240 = 2852914627
BaseRepresentation
bin100000010111001…
…101001100000000
31101211122221012022
4200113031030000
52102444013430
6125513221012
716312014653
oct4027151400
91354587168
10542954240
11259535614
12131a01768
13886444ca
145217789a
1532a004e5
hex205cd300

542954240 has 72 divisors (see below), whose sum is σ = 1345483440. Its totient is φ = 209678336.

The previous prime is 542954239. The next prime is 542954257. The reversal of 542954240 is 42459245.

It is a self number, because there is not a number n which added to its sum of digits gives 542954240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29807 + ... + 44433.

It is an arithmetic number, because the mean of its divisors is an integer number (18687270).

Almost surely, 2542954240 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 542954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672741720).

542954240 is an abundant number, since it is smaller than the sum of its proper divisors (802529200).

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

542954240 is a wasteful number, since it uses less digits than its factorization.

542954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14677 (or 14663 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 542954240 is about 23301.3784999944. The cubic root of 542954240 is about 815.8075927231.

The spelling of 542954240 in words is "five hundred forty-two million, nine hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 928 1160 1280 1856 2320 3712 4640 7424 9280 14627 18560 29254 37120 58508 73135 117016 146270 234032 292540 424183 468064 585080 848366 936128 1170160 1696732 1872256 2120915 2340320 3393464 3744512 4241830 4680640 6786928 8483660 9361280 13573856 16967320 18722560 27147712 33934640 54295424 67869280 108590848 135738560 271477120 542954240