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42961410 = 2325557857
BaseRepresentation
bin1010001111100…
…0101000000010
32222211122222100
42203320220002
541444231120
64132451230
71031110632
oct243705002
988748870
1042961410
11222835a8
1212479b16
138b9276b
1459c46c2
153b89490
hex28f8a02

42961410 has 48 divisors (see below), whose sum is σ = 112030776. Its totient is φ = 11422464.

The previous prime is 42961379. The next prime is 42961417. The reversal of 42961410 is 1416924.

42961410 is a `hidden beast` number, since 42 + 9 + 614 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34821801 + 8139609 = 5901^2 + 2853^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42961417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49702 + ... + 50558.

Almost surely, 242961410 is an apocalyptic number.

42961410 is an abundant number, since it is smaller than the sum of its proper divisors (69069366).

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

42961410 is a wasteful number, since it uses less digits than its factorization.

42961410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42961410 is about 6554.4954039194. The cubic root of 42961410 is about 350.2349714690.

The spelling of 42961410 in words is "forty-two million, nine hundred sixty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 557 857 1114 1671 1714 2571 2785 3342 4285 5013 5142 5570 7713 8355 8570 10026 12855 15426 16710 25065 25710 38565 50130 77130 477349 954698 1432047 2386745 2864094 4296141 4773490 7160235 8592282 14320470 21480705 42961410