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42278112 = 25355437
BaseRepresentation
bin1010000101000…
…1110011100000
32221112221200000
42201101303200
541310344422
64110100000
71022233542
oct241216340
987487600
1042278112
1121957198
12121aa600
1389b3746
145887692
153aa1cac
hex2851ce0

42278112 has 72 divisors (see below), whose sum is σ = 124704216. Its totient is φ = 14090112.

The previous prime is 42278111. The next prime is 42278113. The reversal of 42278112 is 21187224.

It is an interprime number because it is at equal distance from previous prime (42278111) and next prime (42278113).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42278111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5058 + ... + 10494.

It is an arithmetic number, because the mean of its divisors is an integer number (1732003).

Almost surely, 242278112 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 42278112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62352108).

42278112 is an abundant number, since it is smaller than the sum of its proper divisors (82426104).

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

42278112 is an equidigital number, since it uses as much as digits as its factorization.

42278112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5442 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 42278112 is about 6502.1621019473. The cubic root of 42278112 is about 348.3682190488.

The spelling of 42278112 in words is "forty-two million, two hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 5437 7776 10874 16311 21748 32622 43496 48933 65244 86992 97866 130488 146799 173984 195732 260976 293598 391464 440397 521952 587196 782928 880794 1174392 1321191 1565856 1761588 2348784 2642382 3523176 4697568 5284764 7046352 10569528 14092704 21139056 42278112