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542105952 = 25323245519
BaseRepresentation
bin100000010011111…
…110000101100000
31101210001211120020
4200103332011200
52102234342302
6125443113440
716301552553
oct4023760540
91353054506
10542105952
11259006253
12131672880
138840836b
1451dd669a
15328d3ebc
hex204fe160

542105952 has 48 divisors (see below), whose sum is σ = 1484904960. Its totient is φ = 172844672.

The previous prime is 542105947. The next prime is 542105953. The reversal of 542105952 is 259501245.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542105953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120552 + ... + 124967.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 2542105952 is an apocalyptic number.

It is an amenable number.

542105952 is an abundant number, since it is smaller than the sum of its proper divisors (942799008).

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

542105952 is a wasteful number, since it uses less digits than its factorization.

542105952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245555 (or 245547 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 542105952 is about 23283.1688564937. The cubic root of 542105952 is about 815.3825105476.

The spelling of 542105952 in words is "five hundred forty-two million, one hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 245519 491038 736557 982076 1473114 1964152 2946228 3928304 5646937 5892456 7856608 11293874 11784912 16940811 22587748 23569824 33881622 45175496 67763244 90350992 135526488 180701984 271052976 542105952