Search a number
-
+
42736116 = 22323154841
BaseRepresentation
bin1010001100000…
…1100111110100
32222102012221010
42203001213310
541420023431
64123552220
71026152043
oct243014764
988365833
1042736116
112213a305
121238b670
138b14057
14596655a
153b42846
hex28c19f4

42736116 has 24 divisors (see below), whose sum is σ = 104053824. Its totient is φ = 13625920.

The previous prime is 42736103. The next prime is 42736117. The reversal of 42736116 is 61163724.

It is a super-2 number, since 2×427361162 = 3652751221530912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42736117) 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, 77145 + ... + 77696.

It is an arithmetic number, because the mean of its divisors is an integer number (4335576).

Almost surely, 242736116 is an apocalyptic number.

42736116 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42736116 is an abundant number, since it is smaller than the sum of its proper divisors (61317708).

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

42736116 is a wasteful number, since it uses less digits than its factorization.

42736116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154871 (or 154869 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 42736116 is about 6537.2865930751. The cubic root of 42736116 is about 349.6216755600.

The spelling of 42736116 in words is "forty-two million, seven hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 154841 309682 464523 619364 929046 1858092 3561343 7122686 10684029 14245372 21368058 42736116