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55579968 = 263296493
BaseRepresentation
bin1101010000000…
…1010101000000
310212120202101100
43110001111000
5103212024333
65303134400
71243264503
oct324012500
9125522340
1055579968
1129412064
1216744400
13b690172
14754b13a
154d2d213
hex3501540

55579968 has 42 divisors (see below), whose sum is σ = 159311594. Its totient is φ = 18526464.

The previous prime is 55579963. The next prime is 55579981. The reversal of 55579968 is 86997555.

It is a happy number.

55579968 is a `hidden beast` number, since 5 + 5 + 579 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38340864 + 17239104 = 6192^2 + 4152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55579961) 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, 47671 + ... + 48822.

Almost surely, 255579968 is an apocalyptic number.

It is an amenable number.

55579968 is an abundant number, since it is smaller than the sum of its proper divisors (103731626).

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

55579968 is a wasteful number, since it uses less digits than its factorization.

55579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96511 (or 96498 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The square root of 55579968 is about 7455.1973816929. The cubic root of 55579968 is about 381.6272965456.

The spelling of 55579968 in words is "fifty-five million, five hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 96493 192986 289479 385972 578958 771944 868437 1157916 1543888 1736874 2315832 3087776 3473748 4631664 6175552 6947496 9263328 13894992 18526656 27789984 55579968