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42740896 = 2511295379
BaseRepresentation
bin1010001100001…
…0110010100000
32222102110111011
42203002302200
541420202041
64124030304
71026202012
oct243026240
988373434
1042740896
1122142960
1212392394
138b16293
1459681b2
153b43e81
hex28c2ca0

42740896 has 96 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 18170880.

The previous prime is 42740891. The next prime is 42740903. The reversal of 42740896 is 69804724.

It is not an unprimeable number, because it can be changed into a prime (42740891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540985 + ... + 541063.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 242740896 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 42740896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

42740896 is an abundant number, since it is smaller than the sum of its proper divisors (55236704).

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

42740896 is a wasteful number, since it uses less digits than its factorization.

42740896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 42740896 is about 6537.6521779611. The cubic root of 42740896 is about 349.6347100412.

The spelling of 42740896 in words is "forty-two million, seven hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 53 58 79 88 106 116 158 176 212 232 316 319 352 424 464 583 632 638 848 869 928 1166 1264 1276 1537 1696 1738 2291 2332 2528 2552 3074 3476 4187 4582 4664 5104 6148 6952 8374 9164 9328 10208 12296 13904 16748 16907 18328 18656 24592 25201 27808 33496 33814 36656 46057 49184 50402 66992 67628 73312 92114 100804 121423 133984 135256 184228 201608 242846 270512 368456 403216 485692 541024 736912 806432 971384 1335653 1473824 1942768 2671306 3885536 5342612 10685224 21370448 42740896