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613427328 = 2732532489
BaseRepresentation
bin100100100100000…
…010100010000000
31120202021100002200
4210210002202000
52224014133303
6140511513200
721126021603
oct4444024200
91522240080
10613427328
1129529a038
12151528800
139a11a467
145b68033a
1538cc13a3
hex24902880

613427328 has 48 divisors (see below), whose sum is σ = 1765204350. Its totient is φ = 204475392.

The previous prime is 613427317. The next prime is 613427351. The reversal of 613427328 is 823724316.

It is a happy number.

613427328 is a `hidden beast` number, since 613 + 4 + 2 + 7 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 591073344 + 22353984 = 24312^2 + 4728^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 613427292 and 613427301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 265093 + ... + 267396.

Almost surely, 2613427328 is an apocalyptic number.

It is an amenable number.

613427328 is an abundant number, since it is smaller than the sum of its proper divisors (1151777022).

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

613427328 is a wasteful number, since it uses less digits than its factorization.

613427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532509 (or 532494 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 613427328 is about 24767.4651105033. The cubic root of 613427328 is about 849.6779993717.

The spelling of 613427328 in words is "six hundred thirteen million, four hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 532489 1064978 1597467 2129956 3194934 4259912 4792401 6389868 8519824 9584802 12779736 17039648 19169604 25559472 34079296 38339208 51118944 68158592 76678416 102237888 153356832 204475776 306713664 613427328