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42726944 = 2513271379
BaseRepresentation
bin1010001011111…
…1011000100000
32222101202100102
42202333120200
541414230234
64123441532
71026113231
oct242773040
988352312
1042726944
1122133427
12123862a8
138b0cb20
145963088
153b3ec7e
hex28bf620

42726944 has 48 divisors (see below), whose sum is σ = 91163520. Its totient is φ = 19595520.

The previous prime is 42726941. The next prime is 42726949. The reversal of 42726944 is 44962724.

It is a junction number, because it is equal to n+sod(n) for n = 42726898 and 42726907.

It is not an unprimeable number, because it can be changed into a prime (42726941) 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, 112547 + ... + 112925.

It is an arithmetic number, because the mean of its divisors is an integer number (1899240).

Almost surely, 242726944 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 42726944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45581760).

42726944 is an abundant number, since it is smaller than the sum of its proper divisors (48436576).

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

42726944 is a wasteful number, since it uses less digits than its factorization.

42726944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 42726944 is about 6536.5850411358. The cubic root of 42726944 is about 349.5966619045.

The spelling of 42726944 in words is "forty-two million, seven hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 271 379 416 542 758 1084 1516 2168 3032 3523 4336 4927 6064 7046 8672 9854 12128 14092 19708 28184 39416 56368 78832 102709 112736 157664 205418 410836 821672 1335217 1643344 2670434 3286688 5340868 10681736 21363472 42726944