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542099808 = 253217263421
BaseRepresentation
bin100000010011111…
…100100101100000
31101210001112010200
4200103330211200
52102234143213
6125443025200
716301525625
oct4023744540
91353045120
10542099808
11259001678
1213166b200
1388405623
1451dd434c
15328d2273
hex204fc960

542099808 has 144 divisors (see below), whose sum is σ = 1642376736. Its totient is φ = 169021440.

The previous prime is 542099743. The next prime is 542099819. The reversal of 542099808 is 808990245.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287438 + ... + 1287858.

It is an arithmetic number, because the mean of its divisors is an integer number (11405394).

Almost surely, 2542099808 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 542099808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821188368).

542099808 is an abundant number, since it is smaller than the sum of its proper divisors (1100276928).

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

542099808 is a wasteful number, since it uses less digits than its factorization.

542099808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 542099808 is about 23283.0369153167. The cubic root of 542099808 is about 815.3794301356.

The spelling of 542099808 in words is "five hundred forty-two million, ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 263 272 288 306 408 421 526 544 612 789 816 842 1052 1224 1263 1578 1632 1684 2104 2367 2448 2526 3156 3368 3789 4208 4471 4734 4896 5052 6312 6736 7157 7578 8416 8942 9468 10104 12624 13413 13472 14314 15156 17884 18936 20208 21471 25248 26826 28628 30312 35768 37872 40239 40416 42942 53652 57256 60624 64413 71536 75744 80478 85884 107304 110723 114512 121248 128826 143072 160956 171768 214608 221446 229024 257652 321912 332169 343536 429216 442892 515304 643824 664338 687072 885784 996507 1030608 1287648 1328676 1771568 1882291 1993014 2061216 2657352 3543136 3764582 3986028 5314704 5646873 7529164 7972056 10629408 11293746 15058328 15944112 16940619 22587492 30116656 31888224 33881238 45174984 60233312 67762476 90349968 135524952 180699936 271049904 542099808