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55110768 = 24371103157
BaseRepresentation
bin1101001000111…
…0110001110000
310211200220202120
43102032301300
5103102021033
65245114240
71236301536
oct322166160
9124626676
1055110768
1129121599
1216558980
13b55772b
147468156
154c891b3
hex348ec70

55110768 has 80 divisors (see below), whose sum is σ = 146704896. Its totient is φ = 17821440.

The previous prime is 55110763. The next prime is 55110793. The reversal of 55110768 is 86701155.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55110763) 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, 350946 + ... + 351102.

Almost surely, 255110768 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 55110768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73352448).

55110768 is an abundant number, since it is smaller than the sum of its proper divisors (91594128).

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

55110768 is a wasteful number, since it uses less digits than its factorization.

55110768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 55110768 is about 7423.6627078552. The cubic root of 55110768 is about 380.5503751447.

The spelling of 55110768 in words is "fifty-five million, one hundred ten thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 103 142 157 206 213 284 309 314 412 426 471 568 618 628 824 852 942 1136 1236 1256 1648 1704 1884 2472 2512 3408 3768 4944 7313 7536 11147 14626 16171 21939 22294 29252 32342 33441 43878 44588 48513 58504 64684 66882 87756 89176 97026 117008 129368 133764 175512 178352 194052 258736 267528 351024 388104 535056 776208 1148141 2296282 3444423 4592564 6888846 9185128 13777692 18370256 27555384 55110768