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2412520032 = 253134147149
BaseRepresentation
bin1000111111001100…
…0010001001100000
320020010120201022210
42033303002021200
514420101120112
61035220402120
7113533040046
oct21763021140
96203521283
102412520032
11102889400a
12573b46340
132c5a80560
1418c59c396
15e1beab3c
hex8fcc2260

2412520032 has 96 divisors (see below), whose sum is σ = 6986498400. Its totient is φ = 724193280.

The previous prime is 2412520021. The next prime is 2412520051. The reversal of 2412520032 is 2300252142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2412519990 and 2412520008.

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, 27594 + ... + 74742.

It is an arithmetic number, because the mean of its divisors is an integer number (72776025).

Almost surely, 22412520032 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 2412520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493249200).

2412520032 is an abundant number, since it is smaller than the sum of its proper divisors (4573978368).

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

2412520032 is a wasteful number, since it uses less digits than its factorization.

2412520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47216 (or 47208 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2412520032 is about 49117.4106809388. The cubic root of 2412520032 is about 1341.1900084488.

Adding to 2412520032 its reverse (2300252142), we get a palindrome (4712772174).

The spelling of 2412520032 in words is "two billion, four hundred twelve million, five hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 78 82 96 104 123 156 164 208 246 312 328 416 492 533 624 656 984 1066 1248 1312 1599 1968 2132 3198 3936 4264 6396 8528 12792 17056 25584 47149 51168 94298 141447 188596 282894 377192 565788 612937 754384 1131576 1225874 1508768 1838811 1933109 2263152 2451748 3677622 3866218 4526304 4903496 5799327 7355244 7732436 9806992 11598654 14710488 15464872 19613984 23197308 25130417 29420976 30929744 46394616 50260834 58841952 61859488 75391251 92789232 100521668 150782502 185578464 201043336 301565004 402086672 603130008 804173344 1206260016 2412520032