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609223968 = 253217124433
BaseRepresentation
bin100100010100000…
…000010100100000
31120110100210011200
4210110000110200
52221430131333
6140241441200
721045214113
oct4424002440
91513323150
10609223968
11292988a91
12150040200
13992a8172
145aca857a
1538740c13
hex24500520

609223968 has 72 divisors (see below), whose sum is σ = 1834406028. Its totient is φ = 191127552.

The previous prime is 609223963. The next prime is 609223969. The reversal of 609223968 is 869322906.

609223968 is a `hidden beast` number, since 609 + 2 + 2 + 39 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 481714704 + 127509264 = 21948^2 + 11292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (609223963) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 57321 + ... + 67112.

Almost surely, 2609223968 is an apocalyptic number.

609223968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

609223968 is an abundant number, since it is smaller than the sum of its proper divisors (1225182060).

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

609223968 is a wasteful number, since it uses less digits than its factorization.

609223968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124466 (or 124455 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 609223968 is about 24682.4627620503. The cubic root of 609223968 is about 847.7328130589.

The spelling of 609223968 in words is "six hundred nine million, two hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 124433 248866 373299 497732 746598 995464 1119897 1493196 1990928 2115361 2239794 2986392 3981856 4230722 4479588 5972784 6346083 8461444 8959176 11945568 12692166 16922888 17918352 19038249 25384332 33845776 35836704 38076498 50768664 67691552 76152996 101537328 152305992 203074656 304611984 609223968