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42829644 = 223112132269
BaseRepresentation
bin1010001101100…
…0011101001100
32222120222020010
42203120131030
541431022034
64125553220
71030021524
oct243303514
988528203
1042829644
11221a3600
1212415810
138b477b0
14598c684
153b603e9
hex28d874c

42829644 has 72 divisors (see below), whose sum is σ = 118348720. Its totient is φ = 11975040.

The previous prime is 42829627. The next prime is 42829651. The reversal of 42829644 is 44692824.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17742 + ... + 20010.

Almost surely, 242829644 is an apocalyptic number.

42829644 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 42829644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59174360).

42829644 is an abundant number, since it is smaller than the sum of its proper divisors (75519076).

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

42829644 is a wasteful number, since it uses less digits than its factorization.

42829644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2298 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 42829644 is about 6544.4361101626. The cubic root of 42829644 is about 349.8765387675.

The spelling of 42829644 in words is "forty-two million, eight hundred twenty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 2269 3146 4538 4719 6292 6807 9076 9438 13614 18876 24959 27228 29497 49918 58994 74877 88491 99836 117988 149754 176982 274549 299508 324467 353964 549098 648934 823647 973401 1098196 1297868 1647294 1946802 3294588 3569137 3893604 7138274 10707411 14276548 21414822 42829644