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42977214 = 232736961
BaseRepresentation
bin1010001111110…
…0011110111110
32222212110122200
42203330132332
542000232324
64133052330
71031205000
oct243743676
988773580
1042977214
1122294465
12124870a6
138b99a07
1459ca370
153b8dec9
hex28fc7be

42977214 has 48 divisors (see below), whose sum is σ = 108607200. Its totient is φ = 12277440.

The previous prime is 42977213. The next prime is 42977227. The reversal of 42977214 is 41277924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42977213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2694 + ... + 9654.

It is an arithmetic number, because the mean of its divisors is an integer number (2262650).

Almost surely, 242977214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42977214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54303600).

42977214 is an abundant number, since it is smaller than the sum of its proper divisors (65629986).

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

42977214 is a wasteful number, since it uses less digits than its factorization.

42977214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990 (or 6973 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 42977214 is about 6555.7008778620. The cubic root of 42977214 is about 350.2779126023.

It can be divided in two parts, 4297 and 7214, that added together give a palindrome (11511).

The spelling of 42977214 in words is "forty-two million, nine hundred seventy-seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 6961 13922 20883 41766 48727 62649 97454 125298 146181 292362 341089 438543 682178 877086 1023267 2046534 2387623 3069801 4775246 6139602 7162869 14325738 21488607 42977214