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604980768 = 25371752957
BaseRepresentation
bin100100000011110…
…100011000100000
31120011101012121010
4210003310120200
52214333341033
6140010500520
720664152220
oct4403643040
91504335533
10604980768
11290550007
1214a734740
13984509b2
145a4c2080
15381a3863
hex240f4620

604980768 has 96 divisors (see below), whose sum is σ = 1921739904. Its totient is φ = 162680832.

The previous prime is 604980709. The next prime is 604980787. The reversal of 604980768 is 867089406.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) 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 (48).

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, 15055 + ... + 37902.

It is an arithmetic number, because the mean of its divisors is an integer number (20018124).

Almost surely, 2604980768 is an apocalyptic number.

604980768 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

604980768 is an abundant number, since it is smaller than the sum of its proper divisors (1316759136).

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

604980768 is a wasteful number, since it uses less digits than its factorization.

604980768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52994 (or 52986 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 604980768 is about 24596.3568033967. The cubic root of 604980768 is about 845.7600938265.

Subtracting from 604980768 its sum of digits (48), we obtain a triangular number (604980720 = T34784).

The spelling of 604980768 in words is "six hundred four million, nine hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 52957 105914 158871 211828 317742 370699 423656 635484 741398 847312 900269 1112097 1270968 1482796 1694624 1800538 2224194 2541936 2700807 2965592 3601076 4448388 5083872 5401614 5931184 6301883 7202152 8896776 10803228 11862368 12603766 14404304 17793552 18905649 21606456 25207532 28808608 35587104 37811298 43212912 50415064 75622596 86425824 100830128 151245192 201660256 302490384 604980768