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42421452 = 22319672777
BaseRepresentation
bin1010000111010…
…0110011001100
32221211020021220
42201310303030
541324441302
64113123340
71023401463
oct241646314
987736256
1042421452
1121a44957
1212259550
138a33a68
1458c39da
153ace4bc
hex2874ccc

42421452 has 48 divisors (see below), whose sum is σ = 105786240. Its totient is φ = 13191552.

The previous prime is 42421411. The next prime is 42421459. The reversal of 42421452 is 25412424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42421459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13888 + ... + 16664.

It is an arithmetic number, because the mean of its divisors is an integer number (2203880).

Almost surely, 242421452 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 42421452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52893120).

42421452 is an abundant number, since it is smaller than the sum of its proper divisors (63364788).

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

42421452 is a wasteful number, since it uses less digits than its factorization.

42421452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2868 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 42421452 is about 6513.1752624968. The cubic root of 42421452 is about 348.7614782774.

Adding to 42421452 its reverse (25412424), we get a palindrome (67833876).

Subtracting from 42421452 its reverse (25412424), we obtain a triangular number (17009028 = T5832).

The spelling of 42421452 in words is "forty-two million, four hundred twenty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 201 228 268 402 804 1273 2546 2777 3819 5092 5554 7638 8331 11108 15276 16662 33324 52763 105526 158289 186059 211052 316578 372118 558177 633156 744236 1116354 2232708 3535121 7070242 10605363 14140484 21210726 42421452