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604790064 = 2436192729
BaseRepresentation
bin100100000011000…
…101110100110000
31120011000112000000
4210003011310300
52214311240224
6140002430000
720662426224
oct4403056460
91504015000
10604790064
1129042a7aa
1214a662300
13983b4c58
145a472784
15381670c9
hex240c5d30

604790064 has 140 divisors (see below), whose sum is σ = 1850011800. Its totient is φ = 190916352.

The previous prime is 604790059. The next prime is 604790071. The reversal of 604790064 is 460097406.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 220252 + ... + 222980.

It is an arithmetic number, because the mean of its divisors is an integer number (13214370).

Almost surely, 2604790064 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 604790064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925005900).

604790064 is an abundant number, since it is smaller than the sum of its proper divisors (1245221736).

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

604790064 is a wasteful number, since it uses less digits than its factorization.

604790064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 604790064 is about 24592.4798261582. The cubic root of 604790064 is about 845.6712167404.

The spelling of 604790064 in words is "six hundred four million, seven hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 729 912 972 1026 1296 1368 1458 1539 1944 2052 2729 2736 2916 3078 3888 4104 4617 5458 5832 6156 8187 8208 9234 10916 11664 12312 13851 16374 18468 21832 24561 24624 27702 32748 36936 43664 49122 51851 55404 65496 73683 73872 98244 103702 110808 130992 147366 155553 196488 207404 221049 221616 294732 311106 392976 414808 442098 466659 589464 622212 663147 829616 884196 933318 1178928 1244424 1326294 1399977 1768392 1866636 1989441 2488848 2652588 2799954 3536784 3733272 3978882 4199931 5305176 5599908 7466544 7957764 8399862 10610352 11199816 12599793 15915528 16799724 22399632 25199586 31831056 33599448 37799379 50399172 67198896 75598758 100798344 151197516 201596688 302395032 604790064