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42204582 = 23272109439
BaseRepresentation
bin1010000011111…
…1110110100110
32221102012210200
42200333312212
541301021312
64104331330
71021506300
oct240776646
987365720
1042204582
1121906a22
1212173b46
138989134
145868970
153a8a0dc
hex283fda6

42204582 has 72 divisors (see below), whose sum is σ = 107593200. Its totient is φ = 11920608.

The previous prime is 42204571. The next prime is 42204611. The reversal of 42204582 is 28540224.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95919 + ... + 96357.

It is an arithmetic number, because the mean of its divisors is an integer number (1494350).

Almost surely, 242204582 is an apocalyptic number.

42204582 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42204582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53796600).

42204582 is an abundant number, since it is smaller than the sum of its proper divisors (65388618).

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

42204582 is a wasteful number, since it uses less digits than its factorization.

42204582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42204582 is about 6496.5053682730. The cubic root of 42204582 is about 348.1661414374.

The spelling of 42204582 in words is "forty-two million, two hundred four thousand, five hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 109 126 147 218 294 327 439 441 654 763 878 882 981 1317 1526 1962 2289 2634 3073 3951 4578 5341 6146 6867 7902 9219 10682 13734 16023 18438 21511 27657 32046 43022 47851 48069 55314 64533 95702 96138 129066 143553 193599 287106 334957 387198 430659 669914 861318 1004871 2009742 2344699 3014613 4689398 6029226 7034097 14068194 21102291 42204582