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542035908 = 223341167733
BaseRepresentation
bin100000010011101…
…100111111000100
31101202221021111000
4200103230333010
52102230122113
6125441413300
716301141421
oct4023547704
91352837430
10542035908
11258a68667
1213163a230
13883b250b
1451db8d48
15328bd373
hex204ecfc4

542035908 has 96 divisors (see below), whose sum is σ = 1450149120. Its totient is φ = 174977280.

The previous prime is 542035883. The next prime is 542035909. The reversal of 542035908 is 809530245.

It is a super-2 number, since 2×5420359082 = 587605851122768928, which contains 22 as substring.

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 (542035909) 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, 739110 + ... + 739842.

It is an arithmetic number, because the mean of its divisors is an integer number (15105720).

Almost surely, 2542035908 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 542035908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725074560).

542035908 is an abundant number, since it is smaller than the sum of its proper divisors (908113212).

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

542035908 is a wasteful number, since it uses less digits than its factorization.

542035908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 542035908 is about 23281.6646312071. The cubic root of 542035908 is about 815.3473912674.

It can be divided in two parts, 5420 and 35908, that added together give a triangular number (41328 = T287).

The spelling of 542035908 in words is "five hundred forty-two million, thirty-five thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 167 246 334 369 492 501 668 733 738 1002 1107 1466 1476 1503 2004 2199 2214 2932 3006 4398 4428 4509 6012 6597 6847 8796 9018 13194 13694 18036 19791 20541 26388 27388 30053 39582 41082 60106 61623 79164 82164 90159 120212 122411 123246 180318 184869 244822 246492 270477 360636 367233 369738 489644 540954 734466 739476 811431 1081908 1101699 1468932 1622862 2203398 3245724 3305097 4406796 5018851 6610194 10037702 13220388 15056553 20075404 30113106 45169659 60226212 90339318 135508977 180678636 271017954 542035908