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2084012424 = 2332132226509
BaseRepresentation
bin111110000110111…
…1000000110001000
312101020102210121100
41330031320012020
513232001344144
6542443341400
7102433545654
oct17415700610
95336383540
102084012424
1197a40941a
124a1b21860
132729b0b60
1415aac7a64
15c2e5a269
hex7c378188

2084012424 has 48 divisors (see below), whose sum is σ = 6078372300. Its totient is φ = 641234304.

The previous prime is 2084012423. The next prime is 2084012449. The reversal of 2084012424 is 4242104802.

It can be written as a sum of positive squares in 2 ways, for example, as 2076624900 + 7387524 = 45570^2 + 2718^2 .

It is not an unprimeable number, because it can be changed into a prime (2084012423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1112319 + ... + 1114190.

Almost surely, 22084012424 is an apocalyptic number.

2084012424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2084012424 is an abundant number, since it is smaller than the sum of its proper divisors (3994359876).

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

2084012424 is a wasteful number, since it uses less digits than its factorization.

2084012424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226534 (or 2226527 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2084012424 is about 45650.9849181811. The cubic root of 2084012424 is about 1277.3211438694.

The spelling of 2084012424 in words is "two billion, eighty-four million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2226509 4453018 6679527 8906036 13359054 17812072 20038581 26718108 28944617 40077162 53436216 57889234 80154324 86833851 115778468 160308648 173667702 231556936 260501553 347335404 521003106 694670808 1042006212 2084012424