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42749924 = 22719107751
BaseRepresentation
bin1010001100010…
…0111111100100
32222102220212112
42203010333210
541420444144
64124140152
71026240230
oct243047744
988386775
1042749924
1122149718
1212397658
138b1a419
14596b5c0
153b4699e
hex28c4fe4

42749924 has 48 divisors (see below), whose sum is σ = 90961920. Its totient is φ = 17172000.

The previous prime is 42749923. The next prime is 42749947. The reversal of 42749924 is 42994724.

42749924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42749923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56549 + ... + 57299.

It is an arithmetic number, because the mean of its divisors is an integer number (1895040).

Almost surely, 242749924 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 42749924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45480960).

42749924 is an abundant number, since it is smaller than the sum of its proper divisors (48211996).

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

42749924 is a wasteful number, since it uses less digits than its factorization.

42749924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 42749924 is about 6538.3426034432. The cubic root of 42749924 is about 349.6593256533.

The spelling of 42749924 in words is "forty-two million, seven hundred forty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 107 133 214 266 428 532 749 751 1498 1502 2033 2996 3004 4066 5257 8132 10514 14231 14269 21028 28462 28538 56924 57076 80357 99883 160714 199766 321428 399532 562499 1124998 1526783 2249996 3053566 6107132 10687481 21374962 42749924