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42941976 = 233711191223
BaseRepresentation
bin1010001111001…
…1111000011000
32222210200022120
42203303320120
541443120401
64132221240
71031000160
oct243637030
988720276
1042941976
112226aa40
121246a820
138b8696c
1459bb5a0
153b83836
hex28f3e18

42941976 has 128 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 10558080.

The previous prime is 42941971. The next prime is 42941981. The reversal of 42941976 is 67914924.

42941976 = 4732 + 4742 + ... + 6162.

42941976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42941971) and next prime (42941981).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42941971) 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 31 ways as a sum of consecutive naturals, for example, 34501 + ... + 35723.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 242941976 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 42941976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

42941976 is an abundant number, since it is smaller than the sum of its proper divisors (98062824).

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

42941976 is a wasteful number, since it uses less digits than its factorization.

42941976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1265 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 42941976 is about 6553.0127422431. The cubic root of 42941976 is about 350.1821528036.

The spelling of 42941976 in words is "forty-two million, nine hundred forty-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 924 1064 1223 1254 1463 1596 1672 1848 2446 2508 2926 3192 3669 4389 4892 5016 5852 7338 8561 8778 9784 11704 13453 14676 17122 17556 23237 25683 26906 29352 34244 35112 40359 46474 51366 53812 68488 69711 80718 92948 94171 102732 107624 139422 161436 162659 185896 188342 205464 255607 278844 282513 322872 325318 376684 487977 511214 557688 565026 650636 753368 766821 975954 1022428 1130052 1301272 1533642 1789249 1951908 2044856 2260104 3067284 3578498 3903816 5367747 6134568 7156996 10735494 14313992 21470988 42941976