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42919072 = 257296607
BaseRepresentation
bin1010001110111…
…0010010100000
32222202111220021
42203232102200
541441402242
64131523224
71030543330
oct243562240
988674807
1042919072
1122254809
1212459514
138b79401
1459b30c0
153b7bb67
hex28ee4a0

42919072 has 48 divisors (see below), whose sum is σ = 99912960. Its totient is φ = 17756928.

The previous prime is 42919069. The next prime is 42919073. The reversal of 42919072 is 27091924.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42919073) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3193 + ... + 9799.

It is an arithmetic number, because the mean of its divisors is an integer number (2081520).

Almost surely, 242919072 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 42919072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49956480).

42919072 is an abundant number, since it is smaller than the sum of its proper divisors (56993888).

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

42919072 is a wasteful number, since it uses less digits than its factorization.

42919072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 42919072 is about 6551.2649160296. The cubic root of 42919072 is about 350.1198827423.

The spelling of 42919072 in words is "forty-two million, nine hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 6607 13214 26428 46249 52856 92498 105712 184996 191603 211424 369992 383206 739984 766412 1341221 1479968 1532824 2682442 3065648 5364884 6131296 10729768 21459536 42919072