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42378426 = 23231173439
BaseRepresentation
bin1010000110101…
…0010010111010
32221202001021100
42201222102322
541322102201
64112152230
71023132156
oct241522272
987661240
1042378426
1121a155a2
1212238676
138a1a2bc
1458b2066
153ac1886
hex286a4ba

42378426 has 48 divisors (see below), whose sum is σ = 95546880. Its totient is φ = 13560480.

The previous prime is 42378407. The next prime is 42378439. The reversal of 42378426 is 62487324.

It is a super-4 number, since 4×423784264 (a number of 32 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96315 + ... + 96753.

It is an arithmetic number, because the mean of its divisors is an integer number (1990560).

Almost surely, 242378426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42378426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47773440).

42378426 is an abundant number, since it is smaller than the sum of its proper divisors (53168454).

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

42378426 is a wasteful number, since it uses less digits than its factorization.

42378426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 648 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42378426 is about 6509.8714273018. The cubic root of 42378426 is about 348.6435278323.

The spelling of 42378426 in words is "forty-two million, three hundred seventy-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 62 93 173 186 279 346 439 519 558 878 1038 1317 1557 2634 3114 3951 5363 7902 10726 13609 16089 27218 32178 40827 48267 75947 81654 96534 122481 151894 227841 244962 455682 683523 1367046 2354357 4708714 7063071 14126142 21189213 42378426