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42881344 = 2611173583
BaseRepresentation
bin1010001110010…
…1000101000000
32222200121010221
42203211011000
541434200334
64131032424
71030325332
oct243450500
988617127
1042881344
1122229430
121243b714
138b6519c
1459a3452
153b708b4
hex28e5140

42881344 has 56 divisors (see below), whose sum is σ = 98316288. Its totient is φ = 18339840.

The previous prime is 42881329. The next prime is 42881359. The reversal of 42881344 is 44318824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42881329) and next prime (42881359).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10177 + ... + 13759.

It is an arithmetic number, because the mean of its divisors is an integer number (1755648).

Almost surely, 242881344 is an apocalyptic number.

42881344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49158144).

42881344 is an abundant number, since it is smaller than the sum of its proper divisors (55434944).

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

42881344 is a wasteful number, since it uses less digits than its factorization.

42881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3613 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 42881344 is about 6548.3848390271. The cubic root of 42881344 is about 350.0172617337.

The spelling of 42881344 in words is "forty-two million, eight hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 3583 5984 7166 11968 14332 28664 39413 57328 60911 78826 114656 121822 157652 229312 243644 315304 487288 630608 670021 974576 1261216 1340042 1949152 2522432 2680084 3898304 5360168 10720336 21440672 42881344