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55779864 = 2337615443
BaseRepresentation
bin1101010011001…
…0001000011000
310212221220120220
43110302020120
5103234423424
65311320040
71245056340
oct324621030
9125856526
1055779864
1129539268
1216820020
13b73014a
14759dd20
154d6c579
hex3532218

55779864 has 64 divisors (see below), whose sum is σ = 162013440. Its totient is φ = 15672960.

The previous prime is 55779863. The next prime is 55779887. The reversal of 55779864 is 46897755.

It is a super-2 number, since 2×557798642 = 6222786455716992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55779863) 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, 7527 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (2531460).

Almost surely, 255779864 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 55779864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81006720).

55779864 is an abundant number, since it is smaller than the sum of its proper divisors (106233576).

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

55779864 is a wasteful number, since it uses less digits than its factorization.

55779864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5516 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The square root of 55779864 is about 7468.5918351454. The cubic root of 55779864 is about 382.0842627271.

The spelling of 55779864 in words is "fifty-five million, seven hundred seventy-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 5443 10248 10886 16329 21772 32658 38101 43544 65316 76202 114303 130632 152404 228606 304808 332023 457212 664046 914424 996069 1328092 1992138 2324161 2656184 3984276 4648322 6972483 7968552 9296644 13944966 18593288 27889932 55779864