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420050384 = 24132983839
BaseRepresentation
bin11001000010010…
…111010111010000
31002021101202210122
4121002113113100
51330013103014
6105403045412
713260240455
oct3102272720
91067352718
10420050384
111a6120086
12b8810868
1369041930
143db0382c
1526d2458e
hex190975d0

420050384 has 80 divisors (see below), whose sum is σ = 918691200. Its totient is φ = 184708608.

The previous prime is 420050353. The next prime is 420050417. The reversal of 420050384 is 483050024.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500237 + ... + 501075.

It is an arithmetic number, because the mean of its divisors is an integer number (11483640).

Almost surely, 2420050384 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 420050384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459345600).

420050384 is an abundant number, since it is smaller than the sum of its proper divisors (498640816).

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

420050384 is a wasteful number, since it uses less digits than its factorization.

420050384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 420050384 is about 20495.1307387877. The cubic root of 420050384 is about 748.9171835043.

The spelling of 420050384 in words is "four hundred twenty million, fifty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 83 104 116 166 208 232 332 377 464 664 754 839 1079 1328 1508 1678 2158 2407 3016 3356 4316 4814 6032 6712 8632 9628 10907 13424 17264 19256 21814 24331 31291 38512 43628 48662 62582 69637 87256 97324 125164 139274 174512 194648 250328 278548 316303 389296 500656 557096 632606 905281 1114192 1265212 1810562 2019473 2530424 3621124 4038946 5060848 7242248 8077892 14484496 16155784 26253149 32311568 52506298 105012596 210025192 420050384