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2412020032 = 26613171949
BaseRepresentation
bin1000111111000100…
…1000000101000000
320020002122022110021
42033301020011000
514414434120112
61035201543224
7113525555242
oct21761100500
96202568407
102412020032
111028582394
12573944b14
132c5936ab6
1418c4ac092
15e1b4c907
hex8fc48140

2412020032 has 56 divisors (see below), whose sum is σ = 4882667400. Its totient is φ = 1181890560.

The previous prime is 2412020029. The next prime is 2412020059. The reversal of 2412020032 is 2300202142.

It can be written as a sum of positive squares in 4 ways, for example, as 817216 + 2411202816 = 904^2 + 49104^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2412019988 and 2412020015.

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 7 ways as a sum of consecutive naturals, for example, 1236594 + ... + 1238542.

Almost surely, 22412020032 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 2412020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441333700).

2412020032 is an abundant number, since it is smaller than the sum of its proper divisors (2470647368).

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

2412020032 is a wasteful number, since it uses less digits than its factorization.

2412020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2412020032 is about 49112.3205723370. The cubic root of 2412020032 is about 1341.0973472027.

Adding to 2412020032 its reverse (2300202142), we get a palindrome (4712222174).

The spelling of 2412020032 in words is "two billion, four hundred twelve million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 64 122 244 317 488 634 976 1268 1949 1952 2536 3898 3904 5072 7796 10144 15592 19337 20288 31184 38674 62368 77348 118889 124736 154696 237778 309392 475556 617833 618784 951112 1235666 1237568 1902224 2471332 3804448 4942664 7608896 9885328 19770656 37687813 39541312 75375626 150751252 301502504 603005008 1206010016 2412020032