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542924208 = 243689523
BaseRepresentation
bin100000010111000…
…101110110110000
31101211121102000000
4200113011312300
52102442033313
6125512430000
716311531261
oct4027056660
91354542000
10542924208
11259514aa2
121319a8300
1388633938
145216a968
15329e6673
hex205c5db0

542924208 has 140 divisors (see below), whose sum is σ = 1597922280. Its totient is φ = 178599168.

The previous prime is 542924203. The next prime is 542924231. The reversal of 542924208 is 802429245.

542924208 is a `hidden beast` number, since 5 + 429 + 24 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (542924203) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 1037835 + ... + 1038357.

Almost surely, 2542924208 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 542924208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798961140).

542924208 is an abundant number, since it is smaller than the sum of its proper divisors (1054998072).

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

542924208 is an equidigital number, since it uses as much as digits as its factorization.

542924208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 542924208 is about 23300.7340656899. The cubic root of 542924208 is about 815.7925510717.

The spelling of 542924208 in words is "five hundred forty-two million, nine hundred twenty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 243 267 324 356 432 486 523 534 648 712 729 801 972 1046 1068 1296 1424 1458 1569 1602 1944 2092 2136 2403 2916 3138 3204 3888 4184 4272 4707 4806 5832 6276 6408 7209 8368 9414 9612 11664 12552 12816 14121 14418 18828 19224 21627 25104 28242 28836 37656 38448 42363 43254 46547 56484 57672 64881 75312 84726 86508 93094 112968 115344 127089 129762 139641 169452 173016 186188 225936 254178 259524 279282 338904 346032 372376 381267 418923 508356 519048 558564 677808 744752 762534 837846 1016712 1038096 1117128 1256769 1525068 1675692 2033424 2234256 2513538 3050136 3351384 3770307 5027076 6100272 6702768 7540614 10054152 11310921 15081228 20108304 22621842 30162456 33932763 45243684 60324912 67865526 90487368 135731052 180974736 271462104 542924208