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664774440 = 2335113131609
BaseRepresentation
bin100111100111111…
…010011100101000
31201022220001002120
4213213322130220
52330140240230
6145544231240
722321326621
oct4747723450
91638801076
10664774440
1131127a970
1216676b520
13a7957a75
1464408a48
153d565310
hex279fa728

664774440 has 128 divisors (see below), whose sum is σ = 2183932800. Its totient is φ = 160542720.

The previous prime is 664774433. The next prime is 664774441. The reversal of 664774440 is 44477466.

It is a junction number, because it is equal to n+sod(n) for n = 664774392 and 664774401.

It is not an unprimeable number, because it can be changed into a prime (664774441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412356 + ... + 413964.

It is an arithmetic number, because the mean of its divisors is an integer number (17061975).

Almost surely, 2664774440 is an apocalyptic number.

664774440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664774440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091966400).

664774440 is an abundant number, since it is smaller than the sum of its proper divisors (1519158360).

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

664774440 is a wasteful number, since it uses less digits than its factorization.

664774440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 664774440 is about 25783.2201247245. The cubic root of 664774440 is about 872.7531754070.

The spelling of 664774440 in words is "six hundred sixty-four million, seven hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 313 330 440 626 660 939 1252 1320 1565 1609 1878 2504 3130 3218 3443 3756 4695 4827 6260 6436 6886 7512 8045 9390 9654 10329 12520 12872 13772 16090 17215 17699 18780 19308 20658 24135 27544 32180 34430 35398 37560 38616 41316 48270 51645 53097 64360 68860 70796 82632 88495 96540 103290 106194 137720 141592 176990 193080 206580 212388 265485 353980 413160 424776 503617 530970 707960 1007234 1061940 1510851 2014468 2123880 2518085 3021702 4028936 5036170 5539787 6043404 7554255 10072340 11079574 12086808 15108510 16619361 20144680 22159148 27698935 30217020 33238722 44318296 55397870 60434040 66477444 83096805 110795740 132954888 166193610 221591480 332387220 664774440