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42608496 = 2437211601
BaseRepresentation
bin1010001010001…
…0011101110000
32222011201212110
42202202131300
541401432441
64121125320
71025111010
oct242423560
988151773
1042608496
1122062437
1212329840
138a9ac38
145931c40
153b19b16
hex28a2770

42608496 has 80 divisors (see below), whose sum is σ = 126603008. Its totient is φ = 12096000.

The previous prime is 42608491. The next prime is 42608509. The reversal of 42608496 is 69480624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42608491) 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, 70596 + ... + 71196.

Almost surely, 242608496 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 42608496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63301504).

42608496 is an abundant number, since it is smaller than the sum of its proper divisors (83994512).

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

42608496 is a wasteful number, since it uses less digits than its factorization.

42608496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 42608496 is about 6527.5183645854. The cubic root of 42608496 is about 349.2733113019.

The spelling of 42608496 in words is "forty-two million, six hundred eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 211 336 422 601 633 844 1202 1266 1477 1688 1803 2404 2532 2954 3376 3606 4207 4431 4808 5064 5908 7212 8414 8862 9616 10128 11816 12621 14424 16828 17724 23632 25242 28848 33656 35448 50484 67312 70896 100968 126811 201936 253622 380433 507244 760866 887677 1014488 1521732 1775354 2028976 2663031 3043464 3550708 5326062 6086928 7101416 10652124 14202832 21304248 42608496