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42056070 = 2357474261
BaseRepresentation
bin1010000001101…
…1100110000110
32221010200002020
42200123212012
541231243240
64101224010
71020320310
oct240334606
987120066
1042056070
1121815391
1212102006
138936664
14582a7b0
153a5b0d0
hex281b986

42056070 has 64 divisors (see below), whose sum is σ = 117835776. Its totient is φ = 9406080.

The previous prime is 42056059. The next prime is 42056071. The reversal of 42056070 is 7065024.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42056070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42056071) 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 31 ways as a sum of consecutive naturals, for example, 7740 + ... + 12000.

It is an arithmetic number, because the mean of its divisors is an integer number (1841184).

Almost surely, 242056070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42056070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58917888).

42056070 is an abundant number, since it is smaller than the sum of its proper divisors (75779706).

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

42056070 is a wasteful number, since it uses less digits than its factorization.

42056070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 42056070 is about 6485.0651500197. The cubic root of 42056070 is about 347.7572788913.

The spelling of 42056070 in words is "forty-two million, fifty-six thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4261 4935 8522 9870 12783 21305 25566 29827 42610 59654 63915 89481 127830 149135 178962 200267 298270 400534 447405 600801 894810 1001335 1201602 1401869 2002670 2803738 3004005 4205607 6008010 7009345 8411214 14018690 21028035 42056070