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42414435 = 35574987
BaseRepresentation
bin1010000111001…
…1000101100011
32221210212200000
42201303011203
541324230220
64113031043
71023342150
oct241630543
987725600
1042414435
1121a3a658
1212255483
138a307cb
1458c1227
153acc390
hex2873163

42414435 has 48 divisors (see below), whose sum is σ = 87150336. Its totient is φ = 19385568.

The previous prime is 42414433. The next prime is 42414457. The reversal of 42414435 is 53441424.

It is a happy number.

It is not a de Polignac number, because 42414435 - 21 = 42414433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42414399 and 42414408.

It is not an unprimeable number, because it can be changed into a prime (42414433) 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, 6012 + ... + 10998.

It is an arithmetic number, because the mean of its divisors is an integer number (1815632).

Almost surely, 242414435 is an apocalyptic number.

42414435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42414435 is an abundant number, since it is smaller than the sum of its proper divisors (44735901).

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

42414435 is an equidigital number, since it uses as much as digits as its factorization.

42414435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5002 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 42414435 is about 6512.6365628676. The cubic root of 42414435 is about 348.7422474864.

Adding to 42414435 its reverse (53441424), we get a palindrome (95855859).

It can be divided in two parts, 42414 and 435, that added together give a square (42849 = 2072).

The spelling of 42414435 in words is "forty-two million, four hundred fourteen thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 1215 1701 2835 4987 8505 14961 24935 34909 44883 74805 104727 134649 174545 224415 314181 403947 523635 673245 942543 1211841 1570905 2019735 2827629 4712715 6059205 8482887 14138145 42414435