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42280407 = 3313163739
BaseRepresentation
bin1010000101001…
…0010111010111
32221120001211000
42201102113113
541310433112
64110114343
71022243331
oct241222727
987501730
1042280407
1121958994
12121ab9b3
1389b47c0
145888451
153aa27dc
hex28525d7

42280407 has 32 divisors (see below), whose sum is σ = 67961600. Its totient is φ = 25824096.

The previous prime is 42280393. The next prime is 42280409. The reversal of 42280407 is 70408224.

42280407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42280407 - 210 = 42279383 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42280409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56844 + ... + 57582.

It is an arithmetic number, because the mean of its divisors is an integer number (2123800).

Almost surely, 242280407 is an apocalyptic number.

42280407 is a deficient number, since it is larger than the sum of its proper divisors (25681193).

42280407 is a wasteful number, since it uses less digits than its factorization.

42280407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42280407 is about 6502.3385793113. The cubic root of 42280407 is about 348.3745224728.

The spelling of 42280407 in words is "forty-two million, two hundred eighty thousand, four hundred seven".

Divisors: 1 3 9 13 27 39 117 163 351 489 739 1467 2119 2217 4401 6357 6651 9607 19071 19953 28821 57213 86463 120457 259389 361371 1084113 1565941 3252339 4697823 14093469 42280407