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42111872 = 271122719
BaseRepresentation
bin1010000010100…
…1001110000000
32221020111121222
42200221032000
541240034442
64102334212
71020642065
oct240511600
987214558
1042111872
1121853300
121212a368
138955b8a
145842c6c
153a6c8d2
hex2829380

42111872 has 48 divisors (see below), whose sum is σ = 92248800. Its totient is φ = 19134720.

The previous prime is 42111829. The next prime is 42111877. The reversal of 42111872 is 27811124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42111877) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14129 + ... + 16847.

It is an arithmetic number, because the mean of its divisors is an integer number (1921850).

Almost surely, 242111872 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 42111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46124400).

42111872 is an abundant number, since it is smaller than the sum of its proper divisors (50136928).

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

42111872 is a wasteful number, since it uses less digits than its factorization.

42111872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2732 counting only the distinct ones).

The product of its digits is 896, while the sum is 26.

The square root of 42111872 is about 6489.3660707345. The cubic root of 42111872 is about 347.9110178979.

Adding to 42111872 its reverse (27811124), we get a palindrome (69922996).

The spelling of 42111872 in words is "forty-two million, one hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 2719 3872 5438 7744 10876 15488 21752 29909 43504 59818 87008 119636 174016 239272 328999 348032 478544 657998 957088 1315996 1914176 2631992 3828352 5263984 10527968 21055936 42111872