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42891444 = 22374903
BaseRepresentation
bin1010001110011…
…1100010110100
32222201010000000
42203213202310
541440011234
64131151300
71030366641
oct243474264
988633000
1042891444
1122235a82
1212445530
138b6996b
1459a6dc8
153b73899
hex28e78b4

42891444 has 48 divisors (see below), whose sum is σ = 112595840. Its totient is φ = 14294232.

The previous prime is 42891427. The next prime is 42891461. The reversal of 42891444 is 44419824.

42891444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42891427) and next prime (42891461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 42891399 and 42891408.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6297 + ... + 11199.

Almost surely, 242891444 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 42891444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56297920).

42891444 is an abundant number, since it is smaller than the sum of its proper divisors (69704396).

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

42891444 is an equidigital number, since it uses as much as digits as its factorization.

42891444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4908 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 42891444 is about 6549.1559761545. The cubic root of 42891444 is about 350.0447398590.

The spelling of 42891444 in words is "forty-two million, eight hundred ninety-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 4903 8748 9806 14709 19612 29418 44127 58836 88254 132381 176508 264762 397143 529524 794286 1191429 1588572 2382858 3574287 4765716 7148574 10722861 14297148 21445722 42891444