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542455360 = 26531149367
BaseRepresentation
bin100000010101010…
…011011001000000
31101210201120212021
4200111103121000
52102332032420
6125454411224
716304536336
oct4025233100
91353646767
10542455360
11259224817
12131800b14
13884cb405
1452087b56
15329527aa
hex20553640

542455360 has 112 divisors (see below), whose sum is σ = 1345996800. Its totient is φ = 208005120.

The previous prime is 542455357. The next prime is 542455367. The reversal of 542455360 is 63554245.

It is not an unprimeable number, because it can be changed into a prime (542455367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1477897 + ... + 1478263.

Almost surely, 2542455360 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 542455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672998400).

542455360 is an abundant number, since it is smaller than the sum of its proper divisors (803541440).

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

542455360 is a wasteful number, since it uses less digits than its factorization.

542455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The square root of 542455360 is about 23290.6710938092. The cubic root of 542455360 is about 815.5576546520.

The spelling of 542455360 in words is "five hundred forty-two million, four hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 149 155 160 248 298 310 320 367 496 596 620 734 745 992 1192 1240 1468 1490 1835 1984 2384 2480 2936 2980 3670 4619 4768 4960 5872 5960 7340 9238 9536 9920 11377 11744 11920 14680 18476 22754 23095 23488 23840 29360 36952 45508 46190 47680 54683 56885 58720 73904 91016 92380 109366 113770 117440 147808 182032 184760 218732 227540 273415 295616 364064 369520 437464 455080 546830 728128 739040 874928 910160 1093660 1478080 1695173 1749856 1820320 2187320 3390346 3499712 3640640 4374640 6780692 8475865 8749280 13561384 16951730 17498560 27122768 33903460 54245536 67806920 108491072 135613840 271227680 542455360