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42960948 = 22329413011
BaseRepresentation
bin1010001111100…
…0100000110100
32222211122100020
42203320200310
541444222243
64132445140
71031106402
oct243704064
988748306
1042960948
1122283218
12124797b0
138b924a4
1459c4472
153b89283
hex28f8834

42960948 has 48 divisors (see below), whose sum is σ = 106263360. Its totient is φ = 13484800.

The previous prime is 42960943. The next prime is 42960949. The reversal of 42960948 is 84906924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42960943) 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 15 ways as a sum of consecutive naturals, for example, 12763 + ... + 15773.

It is an arithmetic number, because the mean of its divisors is an integer number (2213820).

Almost surely, 242960948 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 42960948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53131680).

42960948 is an abundant number, since it is smaller than the sum of its proper divisors (63302412).

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

42960948 is a wasteful number, since it uses less digits than its factorization.

42960948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 42960948 is about 6554.4601608370. The cubic root of 42960948 is about 350.2337160079.

The spelling of 42960948 in words is "forty-two million, nine hundred sixty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 2378 3011 3567 4756 6022 7134 9033 12044 14268 18066 36132 87319 123451 174638 246902 261957 349276 370353 493804 523914 740706 1047828 1481412 3580079 7160158 10740237 14320316 21480474 42960948