Search a number
-
+
42757008 = 2437553
BaseRepresentation
bin1010001100011…
…0101110010000
32222110021120220
42203012232100
541421211013
64124233040
71026300000
oct243065620
988407526
1042757008
1122153a78
121239b780
138b20708
145970000
153b48b23
hex28c6b90

42757008 has 120 divisors (see below), whose sum is σ = 131295168. Its totient is φ = 11985792.

The previous prime is 42757003. The next prime is 42757021. The reversal of 42757008 is 80075724.

It is a super-2 number, since 2×427570082 = 3656323466224128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42757008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42757003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 806710 + ... + 806762.

Almost surely, 242757008 is an apocalyptic number.

42757008 is a gapful number since it is divisible by the number (48) 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 42757008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65647584).

42757008 is an abundant number, since it is smaller than the sum of its proper divisors (88538160).

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

42757008 is an frugal number, since it uses more digits than its factorization.

42757008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 42757008 is about 6538.8843085040. The cubic root of 42757008 is about 349.6786383571.

The spelling of 42757008 in words is "forty-two million, seven hundred fifty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 53 56 84 98 106 112 147 159 168 196 212 294 318 336 343 371 392 424 588 636 686 742 784 848 1029 1113 1176 1272 1372 1484 2058 2226 2352 2401 2544 2597 2744 2968 4116 4452 4802 5194 5488 5936 7203 7791 8232 8904 9604 10388 14406 15582 16464 16807 17808 18179 19208 20776 28812 31164 33614 36358 38416 41552 50421 54537 57624 62328 67228 72716 100842 109074 115248 124656 127253 134456 145432 201684 218148 254506 268912 290864 381759 403368 436296 509012 763518 806736 872592 890771 1018024 1527036 1781542 2036048 2672313 3054072 3563084 5344626 6108144 7126168 10689252 14252336 21378504 42757008