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2534519808 = 2103430557
BaseRepresentation
bin1001011100010001…
…1011010000000000
320112122010221120000
42113010123100000
520142314113213
61055255320000
7116544030402
oct22704332000
96478127500
102534519808
111090741277
125a8980000
13315127782
141a0878b72
15ec798c73
hex9711b400

2534519808 has 110 divisors (see below), whose sum is σ = 7568819346. Its totient is φ = 844812288.

The previous prime is 2534519759. The next prime is 2534519809. The reversal of 2534519808 is 8089154352.

2534519808 is a `hidden beast` number, since 2 + 53 + 4 + 519 + 80 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1602561024 + 931958784 = 40032^2 + 30528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534519809) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 67666 + ... + 98222.

Almost surely, 22534519808 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 2534519808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784409673).

2534519808 is an abundant number, since it is smaller than the sum of its proper divisors (5034299538).

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

2534519808 is an equidigital number, since it uses as much as digits as its factorization.

2534519808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30589 (or 30562 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2534519808 is about 50344.0146194163. The cubic root of 2534519808 is about 1363.4270203145.

The spelling of 2534519808 in words is "two billion, five hundred thirty-four million, five hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 30557 41472 61114 82944 91671 122228 183342 244456 275013 366684 488912 550026 733368 825039 977824 1100052 1466736 1650078 1955648 2200104 2475117 2933472 3300156 3911296 4400208 4950234 5866944 6600312 7822592 8800416 9900468 11733888 13200624 15645184 17600832 19800936 23467776 26401248 31290368 35201664 39601872 46935552 52802496 70403328 79203744 93871104 105604992 140806656 158407488 211209984 281613312 316814976 422419968 633629952 844839936 1267259904 2534519808