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42748776 = 233373577
BaseRepresentation
bin1010001100010…
…0101101101000
32222102212022000
42203010231220
541420430101
64124131000
71026234000
oct243045550
988385260
1042748776
1122148874
1212396a60
138b19a45
14596b000
153b46486
hex28c4b68

42748776 has 128 divisors (see below), whose sum is σ = 138720000. Its totient is φ = 12192768.

The previous prime is 42748757. The next prime is 42748807. The reversal of 42748776 is 67784724.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73800 + ... + 74376.

It is an arithmetic number, because the mean of its divisors is an integer number (1083750).

Almost surely, 242748776 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 42748776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69360000).

42748776 is an abundant number, since it is smaller than the sum of its proper divisors (95971224).

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

42748776 is a wasteful number, since it uses less digits than its factorization.

42748776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 589 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 42748776 is about 6538.2548130216. The cubic root of 42748776 is about 349.6561957257.

The spelling of 42748776 in words is "forty-two million, seven hundred forty-eight thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 577 588 686 756 882 1029 1154 1176 1323 1372 1512 1731 1764 2058 2308 2646 2744 3087 3462 3528 4039 4116 4616 5193 5292 6174 6924 8078 8232 9261 10386 10584 12117 12348 13848 15579 16156 18522 20772 24234 24696 28273 31158 32312 36351 37044 41544 48468 56546 62316 72702 74088 84819 96936 109053 113092 124632 145404 169638 197911 218106 226184 254457 290808 339276 395822 436212 508914 593733 678552 763371 791644 872424 1017828 1187466 1526742 1583288 1781199 2035656 2374932 3053484 3562398 4749864 5343597 6106968 7124796 10687194 14249592 21374388 42748776