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668484992 = 2773141587
BaseRepresentation
bin100111110110000…
…100010110000000
31201120212120000102
4213312010112000
52332113004432
6150155541532
722365012560
oct4766042600
91646776012
10668484992
1131338473a
12167a5a8a8
13a8656966
1464ad2da0
153da49962
hex27d84580

668484992 has 128 divisors (see below), whose sum is σ = 1612154880. Its totient is φ = 270028800.

The previous prime is 668484991. The next prime is 668484997. The reversal of 668484992 is 299484866.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668484991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138523 + ... + 1139109.

It is an arithmetic number, because the mean of its divisors is an integer number (12594960).

Almost surely, 2668484992 is an apocalyptic number.

668484992 is a gapful number since it is divisible by the number (62) 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 668484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806077440).

668484992 is an abundant number, since it is smaller than the sum of its proper divisors (943669888).

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

668484992 is a wasteful number, since it uses less digits than its factorization.

668484992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The square root of 668484992 is about 25855.0767161886. The cubic root of 668484992 is about 874.3739704920.

The spelling of 668484992 in words is "six hundred sixty-eight million, four hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 128 164 217 224 248 287 328 434 448 496 574 587 656 868 896 992 1148 1174 1271 1312 1736 1984 2296 2348 2542 2624 3472 3968 4109 4592 4696 5084 5248 6944 8218 8897 9184 9392 10168 13888 16436 17794 18197 18368 18784 20336 24067 27776 32872 35588 36394 36736 37568 40672 48134 65744 71176 72788 75136 81344 96268 127379 131488 142352 145576 162688 168469 192536 254758 262976 284704 291152 336938 385072 509516 525952 569408 582304 673876 746077 770144 1019032 1138816 1164608 1347752 1492154 1540288 2038064 2329216 2695504 2984308 3080576 4076128 5222539 5391008 5968616 8152256 10445078 10782016 11937232 16304512 20890156 21564032 23874464 41780312 47748928 83560624 95497856 167121248 334242496 668484992