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42615384 = 2337298747
BaseRepresentation
bin1010001010010…
…0001001011000
32222012002022120
42202210021120
541402143014
64121221240
71025140050
oct242441130
988162276
1042615384
1122067629
1212331820
138aa1106
145934560
153b1bba9
hex28a4258

42615384 has 64 divisors (see below), whose sum is σ = 125971200. Its totient is φ = 11754624.

The previous prime is 42615383. The next prime is 42615401. The reversal of 42615384 is 48351624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42615383) 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, 499 + ... + 9245.

It is an arithmetic number, because the mean of its divisors is an integer number (1968300).

Almost surely, 242615384 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 42615384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62985600).

42615384 is an abundant number, since it is smaller than the sum of its proper divisors (83355816).

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

42615384 is a wasteful number, since it uses less digits than its factorization.

42615384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 8788 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 42615384 is about 6528.0459557206. The cubic root of 42615384 is about 349.2921312179.

The spelling of 42615384 in words is "forty-two million, six hundred fifteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 8747 17494 26241 34988 52482 61229 69976 104964 122458 183687 209928 244916 253663 367374 489832 507326 734748 760989 1014652 1469496 1521978 1775641 2029304 3043956 3551282 5326923 6087912 7102564 10653846 14205128 21307692 42615384