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420521244 = 2231113269911
BaseRepresentation
bin11001000100001…
…010010100011100
31002022021200200220
4121010022110130
51330123134434
6105421121340
713264241313
oct3104122434
91068250626
10420521244
111a6411920
12b89b9250
1369178050
143dbc727a
1526db8d49
hex1910a51c

420521244 has 96 divisors (see below), whose sum is σ = 1158312960. Its totient is φ = 117062400.

The previous prime is 420521221. The next prime is 420521263. The reversal of 420521244 is 442125024.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 461149 + ... + 462059.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2420521244 is an apocalyptic number.

420521244 is a gapful number since it is divisible by the number (44) 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 420521244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

420521244 is an abundant number, since it is smaller than the sum of its proper divisors (737791716).

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

420521244 is a wasteful number, since it uses less digits than its factorization.

420521244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 420521244 is about 20506.6146401594. The cubic root of 420521244 is about 749.1969146009.

Adding to 420521244 its reverse (442125024), we get a palindrome (862646268).

The spelling of 420521244 in words is "four hundred twenty million, five hundred twenty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 269 286 429 538 572 807 858 911 1076 1614 1716 1822 2733 2959 3228 3497 3644 5466 5918 6994 8877 10021 10491 10932 11836 11843 13988 17754 20042 20982 23686 30063 35508 35529 38467 40084 41964 47372 60126 71058 76934 115401 120252 130273 142116 153868 230802 245059 260546 390819 461604 490118 521092 735177 781638 980236 1470354 1563276 2695649 2940708 3185767 5391298 6371534 8086947 9557301 10782596 12743068 16173894 19114602 32347788 35043437 38229204 70086874 105130311 140173748 210260622 420521244