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42982896 = 24311127641
BaseRepresentation
bin1010001111110…
…1110111110000
32222212202110010
42203331313300
542000423041
64133134520
71031230365
oct243756760
988782403
1042982896
1122298760
121248a440
138b9c488
1459cc46c
153b90a16
hex28fddf0

42982896 has 80 divisors (see below), whose sum is σ = 122277888. Its totient is φ = 12902400.

The previous prime is 42982871. The next prime is 42982897. The reversal of 42982896 is 69828924.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42982897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66736 + ... + 67376.

Almost surely, 242982896 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 42982896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61138944).

42982896 is an abundant number, since it is smaller than the sum of its proper divisors (79294992).

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

42982896 is a wasteful number, since it uses less digits than its factorization.

42982896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 42982896 is about 6556.1342268138. The cubic root of 42982896 is about 350.2933486222.

It can be divided in two parts, 429828 and 96, that added together give a palindrome (429924).

The spelling of 42982896 in words is "forty-two million, nine hundred eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 176 254 264 381 508 528 641 762 1016 1282 1397 1524 1923 2032 2564 2794 3048 3846 4191 5128 5588 6096 7051 7692 8382 10256 11176 14102 15384 16764 21153 22352 28204 30768 33528 42306 56408 67056 81407 84612 112816 162814 169224 244221 325628 338448 488442 651256 895477 976884 1302512 1790954 1953768 2686431 3581908 3907536 5372862 7163816 10745724 14327632 21491448 42982896