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42324210 = 23251953467
BaseRepresentation
bin1010000101110…
…1000011110010
32221122021220100
42201131003302
541313333320
64111053230
71022515125
oct241350362
987567810
1042324210
1121988895
1212211216
1389cb716
14589a3bc
153ab0790
hex285d0f2

42324210 has 96 divisors (see below), whose sum is σ = 118272960. Its totient is φ = 10468224.

The previous prime is 42324199. The next prime is 42324211. The reversal of 42324210 is 1242324.

42324210 is a `hidden beast` number, since 423 + 242 + 1 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42324211) 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, 90397 + ... + 90863.

It is an arithmetic number, because the mean of its divisors is an integer number (1232010).

Almost surely, 242324210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42324210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136480).

42324210 is an abundant number, since it is smaller than the sum of its proper divisors (75948750).

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

42324210 is a wasteful number, since it uses less digits than its factorization.

42324210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42324210 is about 6505.7059570811. The cubic root of 42324210 is about 348.4947876541.

Adding to 42324210 its reverse (1242324), we get a palindrome (43566534).

The spelling of 42324210 in words is "forty-two million, three hundred twenty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 53 57 90 95 106 114 159 171 190 265 285 318 342 467 477 530 570 795 855 934 954 1007 1401 1590 1710 2014 2335 2385 2802 3021 4203 4670 4770 5035 6042 7005 8406 8873 9063 10070 14010 15105 17746 18126 21015 24751 26619 30210 42030 44365 45315 49502 53238 74253 79857 88730 90630 123755 133095 148506 159714 222759 247510 266190 371265 399285 445518 470269 742530 798570 940538 1113795 1410807 2227590 2351345 2821614 4232421 4702690 7054035 8464842 14108070 21162105 42324210