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42146310 = 2354771421
BaseRepresentation
bin1010000011000…
…1101000000110
32221022020212110
42200301220012
541242140220
64103201450
71021144353
oct240615006
987266773
1042146310
1121877168
1212146286
13896875b
14585162a
153a77be0
hex2831a06

42146310 has 64 divisors (see below), whose sum is σ = 105007104. Its totient is φ = 10819200.

The previous prime is 42146297. The next prime is 42146311. The reversal of 42146310 is 1364124.

It is a super-2 number, since 2×421463102 = 3552622893232200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42146311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99900 + ... + 100320.

It is an arithmetic number, because the mean of its divisors is an integer number (1640736).

Almost surely, 242146310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42146310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52503552).

42146310 is an abundant number, since it is smaller than the sum of its proper divisors (62860794).

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

42146310 is a wasteful number, since it uses less digits than its factorization.

42146310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 42146310 is about 6492.0189463679. The cubic root of 42146310 is about 348.0058296024.

The spelling of 42146310 in words is "forty-two million, one hundred forty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 71 94 141 142 213 235 282 355 421 426 470 705 710 842 1065 1263 1410 2105 2130 2526 3337 4210 6315 6674 10011 12630 16685 19787 20022 29891 33370 39574 50055 59361 59782 89673 98935 100110 118722 149455 179346 197870 296805 298910 448365 593610 896730 1404877 2809754 4214631 7024385 8429262 14048770 21073155 42146310