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42204645 = 345714887
BaseRepresentation
bin1010000011111…
…1110111100101
32221102012220000
42200333313211
541301022040
64104331513
71021506420
oct240776745
987365800
1042204645
1121906a7a
1212173b99
138989182
1458689b7
153a8a130
hex283fde5

42204645 has 40 divisors (see below), whose sum is σ = 86469504. Its totient is φ = 19292256.

The previous prime is 42204623. The next prime is 42204677. The reversal of 42204645 is 54640224.

It is not a de Polignac number, because 42204645 - 28 = 42204389 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4609 + ... + 10278.

Almost surely, 242204645 is an apocalyptic number.

42204645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42204645 is an abundant number, since it is smaller than the sum of its proper divisors (44264859).

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

42204645 is a wasteful number, since it uses less digits than its factorization.

42204645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14911 (or 14902 counting only the distinct ones).

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

The square root of 42204645 is about 6496.5102170319. The cubic root of 42204645 is about 348.1663146765.

Adding to 42204645 its reverse (54640224), we get a palindrome (96844869).

It can be divided in two parts, 42204 and 645, that added together give a square (42849 = 2072).

The spelling of 42204645 in words is "forty-two million, two hundred four thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 14887 44661 74435 104209 133983 223305 312627 401949 521045 669915 937881 1205847 1563135 2009745 2813643 4689405 6029235 8440929 14068215 42204645