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2412480096 = 253213644359
BaseRepresentation
bin1000111111001011…
…1000011001100000
320020010111200112200
42033302320121200
514420043330341
61035215453200
7113532512445
oct21762703140
96203450480
102412480096
111028867004
12573b27200
132c5a68320
1418c58b9cc
15e1bdddb6
hex8fcb8660

2412480096 has 72 divisors (see below), whose sum is σ = 7388231760. Its totient is φ = 742300416.

The previous prime is 2412480089. The next prime is 2412480151. The reversal of 2412480096 is 6900842142.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2412480096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318436 + ... + 325923.

It is an arithmetic number, because the mean of its divisors is an integer number (102614330).

Almost surely, 22412480096 is an apocalyptic number.

2412480096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2412480096 is an abundant number, since it is smaller than the sum of its proper divisors (4975751664).

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

2412480096 is a wasteful number, since it uses less digits than its factorization.

2412480096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644388 (or 644377 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2412480096 is about 49117.0041431682. The cubic root of 2412480096 is about 1341.1826078802.

The spelling of 2412480096 in words is "two billion, four hundred twelve million, four hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 644359 1288718 1933077 2577436 3866154 5154872 5799231 7732308 8376667 10309744 11598462 15464616 16753334 20619488 23196924 25130001 30929232 33506668 46393848 50260002 61858464 67013336 75390003 92787696 100520004 134026672 150780006 185575392 201040008 268053344 301560012 402080016 603120024 804160032 1206240048 2412480096