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42696990 = 23357192941
BaseRepresentation
bin1010001011100…
…0000100011110
32222100020021000
42202320010132
541412300430
64123051130
71025630010
oct242700436
988306230
1042696990
1122112976
1212370aa6
138acc2bb
1459561b0
153b35e60
hex28b811e

42696990 has 256 divisors, whose sum is σ = 145152000. Its totient is φ = 8709120.

The previous prime is 42696977. The next prime is 42696991. The reversal of 42696990 is 9969624.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42696991) 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 127 ways as a sum of consecutive naturals, for example, 1041370 + ... + 1041410.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 242696990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42696990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

42696990 is an abundant number, since it is smaller than the sum of its proper divisors (102455010).

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

42696990 is a wasteful number, since it uses less digits than its factorization.

42696990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 42696990 is about 6534.2933818432. The cubic root of 42696990 is about 349.5149471402.

The spelling of 42696990 in words is "forty-two million, six hundred ninety-six thousand, nine hundred ninety".