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42241392 = 2433277353
BaseRepresentation
bin1010000100100…
…0110101110000
32221111002022000
42201020311300
541303211032
64105214000
71022021514
oct241106560
987432260
1042241392
1121931646
1212191300
13899cb0b
145878144
153a95e7c
hex2848d70

42241392 has 80 divisors (see below), whose sum is σ = 122030880. Its totient is φ = 13989888.

The previous prime is 42241387. The next prime is 42241393. The reversal of 42241392 is 29314224.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42241393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119488 + ... + 119840.

It is an arithmetic number, because the mean of its divisors is an integer number (1525386).

Almost surely, 242241392 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 42241392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61015440).

42241392 is an abundant number, since it is smaller than the sum of its proper divisors (79789488).

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

42241392 is a wasteful number, since it uses less digits than its factorization.

42241392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 635 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42241392 is about 6499.3378124237. The cubic root of 42241392 is about 348.2673332268.

It can be divided in two parts, 422 and 41392, that added together give a palindrome (41814).

The spelling of 42241392 in words is "forty-two million, two hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 277 353 432 554 706 831 1059 1108 1412 1662 2118 2216 2493 2824 3177 3324 4236 4432 4986 5648 6354 6648 7479 8472 9531 9972 12708 13296 14958 16944 19062 19944 25416 29916 38124 39888 50832 59832 76248 97781 119664 152496 195562 293343 391124 586686 782248 880029 1173372 1564496 1760058 2346744 2640087 3520116 4693488 5280174 7040232 10560348 14080464 21120696 42241392