[go: up one dir, main page]

Search a number
-
+
42104472 = 2335379419
BaseRepresentation
bin1010000010011…
…1011010011000
32221020010110220
42200213122120
541234320342
64102240040
71020611364
oct240473230
987203426
1042104472
1121848793
1212126020
1389526b7
1458402a4
153a6a5ec
hex2827698

42104472 has 64 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 13563264.

The previous prime is 42104449. The next prime is 42104473. The reversal of 42104472 is 27440124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42104473) 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 15 ways as a sum of consecutive naturals, for example, 100279 + ... + 100697.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 242104472 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 42104472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

42104472 is an abundant number, since it is smaller than the sum of its proper divisors (66759528).

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

42104472 is a wasteful number, since it uses less digits than its factorization.

42104472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 42104472 is about 6488.7958821341. The cubic root of 42104472 is about 347.8906381156.

Adding to 42104472 its reverse (27440124), we get a palindrome (69544596).

The spelling of 42104472 in words is "forty-two million, one hundred four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 79 106 158 159 212 237 316 318 419 424 474 632 636 838 948 1257 1272 1676 1896 2514 3352 4187 5028 8374 10056 12561 16748 22207 25122 33101 33496 44414 50244 66202 66621 88828 99303 100488 132404 133242 177656 198606 264808 266484 397212 532968 794424 1754353 3508706 5263059 7017412 10526118 14034824 21052236 42104472