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42118972 = 22719411931
BaseRepresentation
bin1010000010101…
…0111100111100
32221020212100221
42200222330330
541240301342
64102431124
71021001560
oct240527474
987225327
1042118972
1121858675
12121324a4
13895918c
1458456a0
153a6ea67
hex282af3c

42118972 has 48 divisors (see below), whose sum is σ = 90881280. Its totient is φ = 16675200.

The previous prime is 42118963. The next prime is 42118997. The reversal of 42118972 is 27981124.

42118972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20847 + ... + 22777.

It is an arithmetic number, because the mean of its divisors is an integer number (1893360).

Almost surely, 242118972 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 42118972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45440640).

42118972 is an abundant number, since it is smaller than the sum of its proper divisors (48762308).

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

42118972 is a wasteful number, since it uses less digits than its factorization.

42118972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 2000 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 42118972 is about 6489.9130964906. The cubic root of 42118972 is about 347.9305692286.

The spelling of 42118972 in words is "forty-two million, one hundred eighteen thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 532 574 779 1148 1558 1931 3116 3862 5453 7724 10906 13517 21812 27034 36689 54068 73378 79171 146756 158342 256823 316684 513646 554197 1027292 1108394 1504249 2216788 3008498 6016996 10529743 21059486 42118972