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42877744 = 247313601
BaseRepresentation
bin1010001110010…
…0001100110000
32222200102012121
42203210030300
541434041434
64131004024
71030312000
oct243441460
988612177
1042877744
1122226758
1212439614
138b63660
1459a2000
153b6e7b4
hex28e4330

42877744 has 80 divisors (see below), whose sum is σ = 104507200. Its totient is φ = 16934400.

The previous prime is 42877729. The next prime is 42877753. The reversal of 42877744 is 44777824.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42877744.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71044 + ... + 71644.

It is an arithmetic number, because the mean of its divisors is an integer number (1306340).

Almost surely, 242877744 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 42877744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52253600).

42877744 is an abundant number, since it is smaller than the sum of its proper divisors (61629456).

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

42877744 is a wasteful number, since it uses less digits than its factorization.

42877744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 623 counting only the distinct ones).

The product of its digits is 351232, while the sum is 43.

The square root of 42877744 is about 6548.1099563156. The cubic root of 42877744 is about 350.0074665074.

The spelling of 42877744 in words is "forty-two million, eight hundred seventy-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 343 364 392 601 637 686 728 784 1202 1274 1372 1456 2404 2548 2744 4207 4459 4808 5096 5488 7813 8414 8918 9616 10192 15626 16828 17836 29449 31252 33656 35672 54691 58898 62504 67312 71344 109382 117796 125008 206143 218764 235592 382837 412286 437528 471184 765674 824572 875056 1531348 1649144 2679859 3062696 3298288 5359718 6125392 10719436 21438872 42877744