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42324100 = 22527134651
BaseRepresentation
bin1010000101110…
…1000010000100
32221122021202021
42201131002010
541313332400
64111052524
71022514610
oct241350204
987567667
1042324100
11219887a5
1212211144
1389cb660
14589a340
153ab071a
hex285d084

42324100 has 72 divisors (see below), whose sum is σ = 113062208. Its totient is φ = 13392000.

The previous prime is 42324097. The next prime is 42324127. The reversal of 42324100 is 142324.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6775 + ... + 11425.

Almost surely, 242324100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56531104).

42324100 is an abundant number, since it is smaller than the sum of its proper divisors (70738108).

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

42324100 is a wasteful number, since it uses less digits than its factorization.

42324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42324100 is about 6505.6975029585. The cubic root of 42324100 is about 348.4944857429.

Adding to 42324100 its reverse (142324), we get a palindrome (42466424).

It can be divided in two parts, 42324 and 100, that added together give a palindrome (42424).

The spelling of 42324100 in words is "forty-two million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 4651 9100 9302 18604 23255 32557 46510 60463 65114 93020 116275 120926 130228 162785 232550 241852 302315 325570 423241 465100 604630 651140 813925 846482 1209260 1511575 1627850 1692964 2116205 3023150 3255700 4232410 6046300 8464820 10581025 21162050 42324100