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67438656 = 263413009
BaseRepresentation
bin1000000010100…
…00100001000000
311200220020110000
410001100201000
5114231014111
610405240000
71446135105
oct401204100
9150806400
1067438656
113508172a
121a703000
1310c82a3c
148d56aac
155dc1c56
hex4050840

67438656 has 70 divisors (see below), whose sum is σ = 199924670. Its totient is φ = 22477824.

The previous prime is 67438633. The next prime is 67438673. The reversal of 67438656 is 65683476.

It can be written as a sum of positive squares in only one way, i.e., 48776256 + 18662400 = 6984^2 + 4320^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1321 + ... + 11688.

Almost surely, 267438656 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 67438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99962335).

67438656 is an abundant number, since it is smaller than the sum of its proper divisors (132486014).

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

67438656 is a wasteful number, since it uses less digits than its factorization.

67438656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033 (or 13014 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 67438656 is about 8212.1042370394. The cubic root of 67438656 is about 407.0392619691.

The spelling of 67438656 in words is "sixty-seven million, four hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 13009 26018 39027 52036 78054 104072 117081 156108 208144 234162 312216 351243 416288 468324 624432 702486 832576 936648 1053729 1248864 1404972 1873296 2107458 2497728 2809944 3746592 4214916 5619888 7493184 8429832 11239776 16859664 22479552 33719328 67438656