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67428864 = 293214633
BaseRepresentation
bin1000000010011…
…10001000000000
311200212202000100
410001032020000
5114230210424
610405122400
71446064416
oct401161000
9150782010
1067428864
1135075338
121a6b9400
1310c7b449
148d532b6
155dbddc9
hex404e200

67428864 has 60 divisors (see below), whose sum is σ = 194617566. Its totient is φ = 22474752.

The previous prime is 67428863. The next prime is 67428877. The reversal of 67428864 is 46882476.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 57600 = 8208^2 + 240^2 .

It is not an unprimeable number, because it can be changed into a prime (67428863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2709 + ... + 11924.

Almost surely, 267428864 is an apocalyptic number.

67428864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67428864 is an abundant number, since it is smaller than the sum of its proper divisors (127188702).

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

67428864 is a wasteful number, since it uses less digits than its factorization.

67428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14657 (or 14638 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 67428864 is about 8211.5080222819. The cubic root of 67428864 is about 407.0195605021.

The spelling of 67428864 in words is "sixty-seven million, four hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 14633 29266 43899 58532 87798 117064 131697 175596 234128 263394 351192 468256 526788 702384 936512 1053576 1404768 1873024 2107152 2809536 3746048 4214304 5619072 7492096 8428608 11238144 16857216 22476288 33714432 67428864