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492013536 = 25372925247
BaseRepresentation
bin11101010100111…
…000011111100000
31021021210212200120
4131110320133200
52001423413121
6120453320240
715123021540
oct3524703740
91237725616
10492013536
11232802063
12118936080
137ac19b91
14494b7320
152d2dbbc6
hex1d5387e0

492013536 has 96 divisors (see below), whose sum is σ = 1526999040. Its totient is φ = 135722496.

The previous prime is 492013523. The next prime is 492013547. The reversal of 492013536 is 635310294.

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 = 492013497 and 492013506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6865 + ... + 32111.

It is an arithmetic number, because the mean of its divisors is an integer number (15906240).

Almost surely, 2492013536 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 492013536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763499520).

492013536 is an abundant number, since it is smaller than the sum of its proper divisors (1034985504).

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

492013536 is a wasteful number, since it uses less digits than its factorization.

492013536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25296 (or 25288 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 492013536 is about 22181.3781357246. The cubic root of 492013536 is about 789.4519170158.

The spelling of 492013536 in words is "four hundred ninety-two million, thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 25247 50494 75741 100988 151482 176729 201976 302964 353458 403952 530187 605928 706916 732163 807904 1060374 1211856 1413832 1464326 2120748 2196489 2423712 2827664 2928652 4241496 4392978 5125141 5655328 5857304 8482992 8785956 10250282 11714608 15375423 16965984 17571912 20500564 23429216 30750846 35143824 41001128 61501692 70287648 82002256 123003384 164004512 246006768 492013536