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42211530 = 235529599
BaseRepresentation
bin1010000100000…
…1100011001010
32221102120100000
42201001203022
541301232110
64104423430
71021535454
oct241014312
987376300
1042211530
1121911169
1212177b76
13898c34a
14586b2d4
153a8c1c0
hex28418ca

42211530 has 96 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 10850112.

The previous prime is 42211529. The next prime is 42211531. The reversal of 42211530 is 3511224.

It is an interprime number because it is at equal distance from previous prime (42211529) and next prime (42211531).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42211531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70171 + ... + 70769.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 242211530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42211530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

42211530 is an abundant number, since it is smaller than the sum of its proper divisors (75724470).

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

42211530 is a wasteful number, since it uses less digits than its factorization.

42211530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42211530 is about 6497.0400953049. The cubic root of 42211530 is about 348.1852462004.

Adding to 42211530 its reverse (3511224), we get a palindrome (45722754).

The spelling of 42211530 in words is "forty-two million, two hundred eleven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 243 261 270 290 405 435 486 522 599 783 810 870 1198 1215 1305 1566 1797 2349 2430 2610 2995 3594 3915 4698 5391 5990 7047 7830 8985 10782 11745 14094 16173 17371 17970 23490 26955 32346 34742 35235 48519 52113 53910 70470 80865 86855 97038 104226 145557 156339 161730 173710 242595 260565 291114 312678 469017 485190 521130 727785 781695 938034 1407051 1455570 1563390 2345085 2814102 4221153 4690170 7035255 8442306 14070510 21105765 42211530