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55160064 = 283289269
BaseRepresentation
bin1101001001101…
…0110100000000
310211210102101100
43102122310000
5103110110224
65250134400
71236565341
oct322326400
9124712340
1055160064
1129155633
1216581400
13b573cbb
14747c0c8
154c98ac9
hex349ad00

55160064 has 108 divisors (see below), whose sum is σ = 161424900. Its totient is φ = 18112512.

The previous prime is 55160029. The next prime is 55160071. The reversal of 55160064 is 46006155.

It is a happy number.

55160064 is a `hidden beast` number, since 5 + 51 + 600 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 48441600 = 2592^2 + 6960^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204922 + ... + 205190.

It is an arithmetic number, because the mean of its divisors is an integer number (1494675).

Almost surely, 255160064 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 55160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80712450).

55160064 is an abundant number, since it is smaller than the sum of its proper divisors (106264836).

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

55160064 is a wasteful number, since it uses less digits than its factorization.

55160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55160064 is about 7426.9821596662. The cubic root of 55160064 is about 380.6638074274.

The spelling of 55160064 in words is "fifty-five million, one hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 269 288 356 384 534 538 576 712 768 801 807 1068 1076 1152 1424 1602 1614 2136 2152 2304 2421 2848 3204 3228 4272 4304 4842 5696 6408 6456 8544 8608 9684 11392 12816 12912 17088 17216 19368 22784 23941 25632 25824 34176 34432 38736 47882 51264 51648 68352 68864 71823 77472 95764 102528 103296 143646 154944 191528 205056 206592 215469 287292 309888 383056 430938 574584 619776 766112 861876 1149168 1532224 1723752 2298336 3064448 3447504 4596672 6128896 6895008 9193344 13790016 18386688 27580032 55160064