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42023300 = 225211223151
BaseRepresentation
bin1010000001001…
…1100110000100
32221002000010112
42200103212010
541224221200
64100412152
71020122624
oct240234604
987060115
1042023300
11217a2800
12120a7058
138924777
14581c884
153a51535
hex2813984

42023300 has 108 divisors (see below), whose sum is σ = 105284928. Its totient is φ = 14520000.

The previous prime is 42023273. The next prime is 42023309. The reversal of 42023300 is 332024.

It is not an unprimeable number, because it can be changed into a prime (42023309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278225 + ... + 278375.

Almost surely, 242023300 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 42023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52642464).

42023300 is an abundant number, since it is smaller than the sum of its proper divisors (63261628).

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

42023300 is a wasteful number, since it uses less digits than its factorization.

42023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 42023300 is about 6482.5380831893. The cubic root of 42023300 is about 347.6669315112. Note that the first 3 decimals are identical.

Adding to 42023300 its reverse (332024), we get a palindrome (42355324).

The spelling of 42023300 in words is "forty-two million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 121 151 220 230 242 253 275 302 460 484 506 550 575 604 605 755 1012 1100 1150 1210 1265 1510 1661 2300 2420 2530 2783 3020 3025 3322 3473 3775 5060 5566 6050 6325 6644 6946 7550 8305 11132 12100 12650 13892 13915 15100 16610 17365 18271 25300 27830 33220 34730 36542 38203 41525 55660 69460 69575 73084 76406 83050 86825 91355 139150 152812 166100 173650 182710 191015 278300 347300 365420 382030 420233 456775 764060 840466 913550 955075 1680932 1827100 1910150 2101165 3820300 4202330 8404660 10505825 21011650 42023300