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42261048 = 2333172677
BaseRepresentation
bin1010000100110…
…1101000111000
32221112002021000
42201031220320
541304323143
64105445000
71022133024
oct241155070
987462230
1042261048
1121945395
12121a0760
1389a8a4b
145881384
153a9bbd3
hex284da38

42261048 has 96 divisors (see below), whose sum is σ = 124887600. Its totient is φ = 13238784.

The previous prime is 42261013. The next prime is 42261049. The reversal of 42261048 is 84016224.

42261048 is a `hidden beast` number, since 4 + 2 + 2 + 610 + 48 = 666.

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 (42261049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62086 + ... + 62762.

Almost surely, 242261048 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 42261048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62443800).

42261048 is an abundant number, since it is smaller than the sum of its proper divisors (82626552).

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

42261048 is a wasteful number, since it uses less digits than its factorization.

42261048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42261048 is about 6500.8497906043. The cubic root of 42261048 is about 348.3213440824.

The spelling of 42261048 in words is "forty-two million, two hundred sixty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 289 306 408 459 578 612 677 867 918 1156 1224 1354 1734 1836 2031 2312 2601 2708 3468 3672 4062 5202 5416 6093 6936 7803 8124 10404 11509 12186 15606 16248 18279 20808 23018 24372 31212 34527 36558 46036 48744 62424 69054 73116 92072 103581 138108 146232 195653 207162 276216 310743 391306 414324 586959 621486 782612 828648 1173918 1242972 1565224 1760877 2347836 2485944 3521754 4695672 5282631 7043508 10565262 14087016 21130524 42261048