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6678464 = 261323349
BaseRepresentation
bin11001011110011111000000
3110120022010112
4121132133000
53202202324
6355050452
7110523512
oct31363700
913508115
106678464
1138516a1
1222a0a28
1314caa70
14c5bbb2
158bdc0e
hex65e7c0

6678464 has 56 divisors (see below), whose sum is σ = 14935200. Its totient is φ = 2939904.

The previous prime is 6678461. The next prime is 6678491. The reversal of 6678464 is 4648766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6678461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18962 + ... + 19310.

It is an arithmetic number, because the mean of its divisors is an integer number (266700).

Almost surely, 26678464 is an apocalyptic number.

6678464 is a gapful number since it is divisible by the number (64) 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 6678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467600).

6678464 is an abundant number, since it is smaller than the sum of its proper divisors (8256736).

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

6678464 is a wasteful number, since it uses less digits than its factorization.

6678464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 6678464 is about 2584.2724314592. The cubic root of 6678464 is about 188.3181575123.

The spelling of 6678464 in words is "six million, six hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 349 368 416 598 698 736 832 1196 1396 1472 2392 2792 4537 4784 5584 8027 9074 9568 11168 16054 18148 19136 22336 32108 36296 64216 72592 104351 128432 145184 208702 256864 290368 417404 513728 834808 1669616 3339232 6678464