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42681450 = 2352725807
BaseRepresentation
bin1010001011010…
…0010001101010
32222022102221110
42202310101222
541411301300
64122451150
71025533500
oct242642152
988272843
1042681450
1122102229
1212363ab6
138ac51c6
145950670
153b31550
hex28b446a

42681450 has 72 divisors (see below), whose sum is σ = 123152832. Its totient is φ = 9754080.

The previous prime is 42681439. The next prime is 42681493. The reversal of 42681450 is 5418624.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 35 ways as a sum of consecutive naturals, for example, 4447 + ... + 10253.

It is an arithmetic number, because the mean of its divisors is an integer number (1710456).

Almost surely, 242681450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42681450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61576416).

42681450 is an abundant number, since it is smaller than the sum of its proper divisors (80471382).

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

42681450 is a wasteful number, since it uses less digits than its factorization.

42681450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42681450 is about 6533.1041626473. The cubic root of 42681450 is about 349.4725388318.

The spelling of 42681450 in words is "forty-two million, six hundred eighty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 5807 7350 11614 17421 29035 34842 40649 58070 81298 87105 121947 145175 174210 203245 243894 284543 290350 406490 435525 569086 609735 853629 871050 1016225 1219470 1422715 1707258 2032450 2845430 3048675 4268145 6097350 7113575 8536290 14227150 21340725 42681450