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542044360 = 2351113193491
BaseRepresentation
bin100000010011101…
…111000011001000
31101202221201002001
4200103233003020
52102230404420
6125441520344
716301205154
oct4023570310
91352851061
10542044360
11258a73a50
121316430b4
13883b6310
1451dbc064
15328c0b0a
hex204ef0c8

542044360 has 128 divisors (see below), whose sum is σ = 1443173760. Its totient is φ = 180633600.

The previous prime is 542044357. The next prime is 542044361. The reversal of 542044360 is 63440245.

It is not an unprimeable number, because it can be changed into a prime (542044361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103715 + ... + 1104205.

It is an arithmetic number, because the mean of its divisors is an integer number (11274795).

Almost surely, 2542044360 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 542044360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721586880).

542044360 is an abundant number, since it is smaller than the sum of its proper divisors (901129400).

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

542044360 is a wasteful number, since it uses less digits than its factorization.

542044360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 542044360 is about 23281.8461467299. The cubic root of 542044360 is about 815.3516291664.

It can be divided in two parts, 54204 and 4360, that added together give a square (58564 = 2422).

The spelling of 542044360 in words is "five hundred forty-two million, forty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 193 220 260 286 386 440 491 520 572 715 772 965 982 1144 1430 1544 1930 1964 2123 2455 2509 2860 3860 3928 4246 4910 5018 5401 5720 6383 7720 8492 9820 10036 10615 10802 12545 12766 16984 19640 20072 21230 21604 25090 25532 27005 27599 31915 42460 43208 50180 51064 54010 55198 63830 70213 84920 94763 100360 108020 110396 127660 137995 140426 189526 216040 220792 255320 275990 280852 351065 379052 473815 551980 561704 702130 758104 947630 1042393 1103960 1231919 1404260 1895260 2084786 2463838 2808520 3790520 4169572 4927676 5211965 6159595 8339144 9855352 10423930 12319190 13551109 20847860 24638380 27102218 41695720 49276760 54204436 67755545 108408872 135511090 271022180 542044360