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42616770 = 2357253547
BaseRepresentation
bin1010001010010…
…0011111000010
32222012011012220
42202210133002
541402214040
64121231510
71025144100
oct242443702
988164186
1042616770
1122068679
1212332596
138aa1931
145934c70
153b1c2d0
hex28a47c2

42616770 has 96 divisors (see below), whose sum is σ = 121445568. Its totient is φ = 9539712.

The previous prime is 42616751. The next prime is 42616771. The reversal of 42616770 is 7761624.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42616771) 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 47 ways as a sum of consecutive naturals, for example, 77637 + ... + 78183.

It is an arithmetic number, because the mean of its divisors is an integer number (1265058).

Almost surely, 242616770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42616770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60722784).

42616770 is an abundant number, since it is smaller than the sum of its proper divisors (78828798).

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

42616770 is a wasteful number, since it uses less digits than its factorization.

42616770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 42616770 is about 6528.1521121984. The cubic root of 42616770 is about 349.2959179071.

The spelling of 42616770 in words is "forty-two million, six hundred sixteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 53 70 98 105 106 147 159 210 245 265 294 318 371 490 530 547 735 742 795 1094 1113 1470 1590 1641 1855 2226 2597 2735 3282 3710 3829 5194 5470 5565 7658 7791 8205 11130 11487 12985 15582 16410 19145 22974 25970 26803 28991 38290 38955 53606 57435 57982 77910 80409 86973 114870 134015 144955 160818 173946 202937 268030 289910 402045 405874 434865 608811 804090 869730 1014685 1217622 1420559 2029370 2841118 3044055 4261677 6088110 7102795 8523354 14205590 21308385 42616770