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42141150 = 23252372531
BaseRepresentation
bin1010000011000…
…0010111011110
32221021222210100
42200300113132
541242004100
64103121530
71021123332
oct240602736
987258710
1042141150
11218732a7
12121432a6
1389662bc
14584d7c2
153a76400
hex28305de

42141150 has 72 divisors (see below), whose sum is σ = 116325144. Its totient is φ = 10929600.

The previous prime is 42141149. The next prime is 42141199. The reversal of 42141150 is 5114124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15385 + ... + 17915.

It is an arithmetic number, because the mean of its divisors is an integer number (1615627).

Almost surely, 242141150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42141150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58162572).

42141150 is an abundant number, since it is smaller than the sum of its proper divisors (74183994).

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

42141150 is a wasteful number, since it uses less digits than its factorization.

42141150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 42141150 is about 6491.6215231635. The cubic root of 42141150 is about 347.9916268298.

Adding to 42141150 its reverse (5114124), we get a palindrome (47255274).

The spelling of 42141150 in words is "forty-two million, one hundred forty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2531 2775 3330 5062 5550 7593 8325 12655 15186 16650 22779 25310 37965 45558 63275 75930 93647 113895 126550 187294 189825 227790 280941 379650 468235 561882 569475 842823 936470 1138950 1404705 1685646 2341175 2809410 4214115 4682350 7023525 8428230 14047050 21070575 42141150