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42194448 = 2432714127
BaseRepresentation
bin1010000011110…
…1011000010000
32221101200220100
42200331120100
541300210243
64104212400
71021434612
oct240753020
987350810
1042194448
11218aa34a
121216a100
13898463a
145864db2
153a870d3
hex283d610

42194448 has 60 divisors (see below), whose sum is σ = 119778048. Its totient is φ = 13863360.

The previous prime is 42194437. The next prime is 42194473. The reversal of 42194448 is 84449124.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8161 + ... + 12287.

Almost surely, 242194448 is an apocalyptic number.

42194448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42194448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59889024).

42194448 is an abundant number, since it is smaller than the sum of its proper divisors (77583600).

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

42194448 is a wasteful number, since it uses less digits than its factorization.

42194448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4203 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 42194448 is about 6495.7253636526. The cubic root of 42194448 is about 348.1382724403.

The spelling of 42194448 in words is "forty-two million, one hundred ninety-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 4127 5112 8254 10224 12381 16508 24762 33016 37143 49524 66032 74286 99048 148572 198096 293017 297144 586034 594288 879051 1172068 1758102 2344136 2637153 3516204 4688272 5274306 7032408 10548612 14064816 21097224 42194448