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681583392 = 25327536379
BaseRepresentation
bin101000101000000…
…010001100100000
31202111112000122100
4220220002030200
52343441132032
6151344410400
722614235410
oct5050021440
91674460570
10681583392
1131a810766
12170316a00
13ab2918a9
1466742640
153ec8597c
hex28a02320

681583392 has 144 divisors (see below), whose sum is σ = 2257295040. Its totient is φ = 191033856.

The previous prime is 681583387. The next prime is 681583393. The reversal of 681583392 is 293385186.

It is a happy number.

681583392 is a `hidden beast` number, since 68 + 1 + 583 + 3 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681583393) 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, 103659 + ... + 110037.

It is an arithmetic number, because the mean of its divisors is an integer number (15675660).

Almost surely, 2681583392 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 681583392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128647520).

681583392 is an abundant number, since it is smaller than the sum of its proper divisors (1575711648).

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

681583392 is a wasteful number, since it uses less digits than its factorization.

681583392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6455 (or 6444 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 681583392 is about 26107.1521235082. The cubic root of 681583392 is about 880.0479450462.

The spelling of 681583392 in words is "six hundred eighty-one million, five hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2968 3339 3816 4452 5088 5936 6379 6678 7632 8904 11872 12758 13356 15264 17808 19137 25516 26712 35616 38274 44653 51032 53424 57411 76548 89306 102064 106848 114822 133959 153096 178612 204128 229644 267918 306192 338087 357224 401877 459288 535836 612384 676174 714448 803754 918576 1014261 1071672 1352348 1428896 1607508 1837152 2028522 2143344 2366609 2704696 3042783 3215016 4057044 4286688 4733218 5409392 6085566 6430032 7099827 8114088 9466436 10818784 12171132 12860064 14199654 16228176 18932872 21299481 24342264 28399308 32456352 37865744 42598962 48684528 56798616 75731488 85197924 97369056 113597232 170395848 227194464 340791696 681583392