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42350472 = 2333892203
BaseRepresentation
bin1010000110001…
…1011110001000
32221200121221000
42201203132020
541320203342
64111415000
71022654523
oct241433610
987617830
1042350472
11219a659a
1212224460
138a0a668
1458a5bba
153ab844c
hex2863788

42350472 has 64 divisors (see below), whose sum is σ = 119016000. Its totient is φ = 13951872.

The previous prime is 42350467. The next prime is 42350507. The reversal of 42350472 is 27405324.

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

It is an unprimeable number.

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, 18123 + ... + 20325.

It is an arithmetic number, because the mean of its divisors is an integer number (1859625).

Almost surely, 242350472 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 42350472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59508000).

42350472 is an abundant number, since it is smaller than the sum of its proper divisors (76665528).

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

42350472 is a wasteful number, since it uses less digits than its factorization.

42350472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42350472 is about 6507.7240261093. The cubic root of 42350472 is about 348.5668526165.

Adding to 42350472 its reverse (27405324), we get a palindrome (69755796).

The spelling of 42350472 in words is "forty-two million, three hundred fifty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2203 2403 3204 4406 4806 6408 6609 8812 9612 13218 17624 19224 19827 26436 39654 52872 59481 79308 118962 158616 196067 237924 392134 475848 588201 784268 1176402 1568536 1764603 2352804 3529206 4705608 5293809 7058412 10587618 14116824 21175236 42350472