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542037632 = 2737311353
BaseRepresentation
bin100000010011101…
…101011010000000
31101202221100211212
4200103231122000
52102230201012
6125441425252
716301146433
oct4023553200
91352840755
10542037632
11258a69994
1213163b228
13883b3236
1451db981a
15328bdb22
hex204ed680

542037632 has 32 divisors (see below), whose sum is σ = 1082830980. Its totient is φ = 270268416.

The previous prime is 542037611. The next prime is 542037647. The reversal of 542037632 is 236730245.

It can be written as a sum of positive squares in 2 ways, for example, as 537126976 + 4910656 = 23176^2 + 2216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42068 + ... + 53420.

Almost surely, 2542037632 is an apocalyptic number.

It is an amenable number.

542037632 is a deficient number, since it is larger than the sum of its proper divisors (540793348).

542037632 is a wasteful number, since it uses less digits than its factorization.

542037632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11740 (or 11728 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 542037632 is about 23281.7016560216. The cubic root of 542037632 is about 815.3482556981.

Adding to 542037632 its reverse (236730245), we get a palindrome (778767877).

The spelling of 542037632 in words is "five hundred forty-two million, thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 373 746 1492 2984 5968 11353 11936 22706 23872 45412 47744 90824 181648 363296 726592 1453184 4234669 8469338 16938676 33877352 67754704 135509408 271018816 542037632