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542490912 = 25331314793
BaseRepresentation
bin100000010101011…
…100000100100000
31101210210101122000
4200111130010200
52102334202122
6125455244000
716305045105
oct4025340440
91353711560
10542490912
112592494a7
12131819600
1388511652
1452096aac
153295d0ac
hex2055c120

542490912 has 96 divisors (see below), whose sum is σ = 1594676160. Its totient is φ = 179412480.

The previous prime is 542490911. The next prime is 542490919. The reversal of 542490912 is 219094245.

It is a tau number, because it is divible by the number of its divisors (96).

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 (542490911) 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, 110788 + ... + 115580.

It is an arithmetic number, because the mean of its divisors is an integer number (16611210).

Almost surely, 2542490912 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 542490912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797338080).

542490912 is an abundant number, since it is smaller than the sum of its proper divisors (1052185248).

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

542490912 is a wasteful number, since it uses less digits than its factorization.

542490912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 542490912 is about 23291.4343053407. The cubic root of 542490912 is about 815.5754712162.

The spelling of 542490912 in words is "five hundred forty-two million, four hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 131 144 216 262 288 393 432 524 786 864 1048 1179 1572 2096 2358 3144 3537 4192 4716 4793 6288 7074 9432 9586 12576 14148 14379 18864 19172 28296 28758 37728 38344 43137 56592 57516 76688 86274 113184 115032 129411 153376 172548 230064 258822 345096 460128 517644 627883 690192 1035288 1255766 1380384 1883649 2070576 2511532 3767298 4141152 5023064 5650947 7534596 10046128 11301894 15069192 16952841 20092256 22603788 30138384 33905682 45207576 60276768 67811364 90415152 135622728 180830304 271245456 542490912