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42834264 = 23311162251
BaseRepresentation
bin1010001101100…
…1100101011000
32222121012120020
42203121211120
541431144024
64130030440
71030041144
oct243314530
988535506
1042834264
11221a7020
1212418420
138b49925
145990224
153b61979
hex28d9958

42834264 has 32 divisors (see below), whose sum is σ = 116821440. Its totient is φ = 12980000.

The previous prime is 42834263. The next prime is 42834269. The reversal of 42834264 is 46243824.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42834263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80862 + ... + 81389.

It is an arithmetic number, because the mean of its divisors is an integer number (3650670).

Almost surely, 242834264 is an apocalyptic number.

42834264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42834264 is an abundant number, since it is smaller than the sum of its proper divisors (73987176).

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

42834264 is a wasteful number, since it uses less digits than its factorization.

42834264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162271 (or 162267 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 42834264 is about 6544.7890722314. The cubic root of 42834264 is about 349.8891186175.

The spelling of 42834264 in words is "forty-two million, eight hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 162251 324502 486753 649004 973506 1298008 1784761 1947012 3569522 3894024 5354283 7139044 10708566 14278088 21417132 42834264