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415050042 = 231123793461
BaseRepresentation
bin11000101111010…
…010100100111010
31001220222201121210
4120233102210322
51322223100132
6105103543550
713166603301
oct3057224472
91056881553
10415050042
111a3315270
12b6bbabb6
1367cb0954
143d1a1438
1526687bcc
hex18bd293a

415050042 has 64 divisors (see below), whose sum is σ = 957173760. Its totient is φ = 118747200.

The previous prime is 415050037. The next prime is 415050071. The reversal of 415050042 is 240050514.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118192 + ... + 121652.

It is an arithmetic number, because the mean of its divisors is an integer number (14955840).

Almost surely, 2415050042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415050042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478586880).

415050042 is an abundant number, since it is smaller than the sum of its proper divisors (542123718).

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

415050042 is a wasteful number, since it uses less digits than its factorization.

415050042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 415050042 is about 20372.7769830232. The cubic root of 415050042 is about 745.9335725148.

The spelling of 415050042 in words is "four hundred fifteen million, fifty thousand, forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 79 138 158 237 253 474 506 759 869 1518 1738 1817 2607 3461 3634 5214 5451 6922 10383 10902 19987 20766 38071 39974 59961 76142 79603 114213 119922 159206 228426 238809 273419 477618 546838 820257 875633 1640514 1751266 2626899 3007609 5253798 6015218 6288637 9022827 12577274 18045654 18865911 37731822 69175007 138350014 207525021 415050042