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42746445 = 3257971399
BaseRepresentation
bin1010001100010…
…0001001001101
32222102202002200
42203010021031
541420341240
64124112113
71026224130
oct243041115
988382080
1042746445
1122147045
1212395639
138b18971
14596a217
153b45930
hex28c424d

42746445 has 48 divisors (see below), whose sum is σ = 85612800. Its totient is φ = 19325952.

The previous prime is 42746441. The next prime is 42746467. The reversal of 42746445 is 54464724.

42746445 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 644 + 5 = 666.

It is not a de Polignac number, because 42746445 - 22 = 42746441 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42746441) 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, 29856 + ... + 31254.

It is an arithmetic number, because the mean of its divisors is an integer number (1783600).

Almost surely, 242746445 is an apocalyptic number.

42746445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42746445 is an abundant number, since it is smaller than the sum of its proper divisors (42866355).

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

42746445 is a wasteful number, since it uses less digits than its factorization.

42746445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1511 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 42746445 is about 6538.0765520144. The cubic root of 42746445 is about 349.6498402735.

The spelling of 42746445 in words is "forty-two million, seven hundred forty-six thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 97 105 291 315 485 679 873 1399 1455 2037 3395 4197 4365 6111 6995 9793 10185 12591 20985 29379 30555 48965 62955 88137 135703 146895 407109 440685 678515 949921 1221327 2035545 2849763 4749605 6106635 8549289 14248815 42746445