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2413892052 = 22321113468899
BaseRepresentation
bin1000111111100001…
…0001000111010100
320020020011102101100
42033320101013110
514420424021202
61035310030100
7113550513105
oct21770210724
96206142340
102413892052
111029640910
125744a8330
132c6140bc0
1418c8383ac
15e1dbc41c
hex8fe111d4

2413892052 has 72 divisors (see below), whose sum is σ = 7168543200. Its totient is φ = 675213120.

The previous prime is 2413892027. The next prime is 2413892059. The reversal of 2413892052 is 2502983142.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2413891998 and 2413892016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413892059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229302 + ... + 239597.

It is an arithmetic number, because the mean of its divisors is an integer number (99563100).

Almost surely, 22413892052 is an apocalyptic number.

2413892052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2413892052 is an abundant number, since it is smaller than the sum of its proper divisors (4754651148).

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

2413892052 is a wasteful number, since it uses less digits than its factorization.

2413892052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468933 (or 468928 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2413892052 is about 49131.3754336269. The cubic root of 2413892052 is about 1341.4442088654. Note that the first 3 decimals are identical.

The spelling of 2413892052 in words is "two billion, four hundred thirteen million, eight hundred ninety-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 468899 937798 1406697 1875596 2813394 4220091 5157889 5626788 6095687 8440182 10315778 12191374 15473667 16880364 18287061 20631556 24382748 30947334 36574122 46421001 54861183 61894668 67052557 73148244 92842002 109722366 134105114 185684004 201157671 219444732 268210228 402315342 603473013 804630684 1206946026 2413892052