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42976362 = 23111323853
BaseRepresentation
bin1010001111110…
…0010001101010
32222212102111010
42203330101222
542000220422
64133044350
71031202342
oct243742152
988772433
1042976362
1122293860
12124866b6
138b99500
1459c9d22
153b8db0c
hex28fc46a

42976362 has 48 divisors (see below), whose sum is σ = 101560608. Its totient is φ = 12018240.

The previous prime is 42976343. The next prime is 42976363. The reversal of 42976362 is 26367924.

42976362 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 42976362.

It is not an unprimeable number, because it can be changed into a prime (42976363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9228 + ... + 13080.

It is an arithmetic number, because the mean of its divisors is an integer number (2115846).

Almost surely, 242976362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42976362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50780304).

42976362 is an abundant number, since it is smaller than the sum of its proper divisors (58584246).

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

42976362 is a wasteful number, since it uses less digits than its factorization.

42976362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3882 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 42976362 is about 6555.6358959295. The cubic root of 42976362 is about 350.2755978970.

The spelling of 42976362 in words is "forty-two million, nine hundred seventy-six thousand, three hundred sixty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 3718 3853 5577 7706 11154 11559 23118 42383 50089 84766 100178 127149 150267 254298 300534 550979 651157 1101958 1302314 1652937 1953471 3305874 3906942 7162727 14325454 21488181 42976362