Search a number
-
+
55740312 = 233553541
BaseRepresentation
bin1101010010100…
…0011110011000
310212212220100000
43110220132120
5103232142222
65310413000
71244533125
oct324503630
9125786300
1055740312
1129511581
1216801160
13b718144
14758d74c
154d609ac
hex3528798

55740312 has 96 divisors (see below), whose sum is σ = 159803280. Its totient is φ = 18195840.

The previous prime is 55740287. The next prime is 55740337. The reversal of 55740312 is 21304755.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55740287) and next prime (55740337).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102762 + ... + 103302.

Almost surely, 255740312 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 55740312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79901640).

55740312 is an abundant number, since it is smaller than the sum of its proper divisors (104062968).

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

55740312 is a wasteful number, since it uses less digits than its factorization.

55740312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 55740312 is about 7465.9434768822. The cubic root of 55740312 is about 381.9939328185.

The spelling of 55740312 in words is "fifty-five million, seven hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 541 636 648 954 972 1082 1272 1431 1623 1908 1944 2164 2862 3246 3816 4293 4328 4869 5724 6492 8586 9738 11448 12879 12984 14607 17172 19476 25758 28673 29214 34344 38952 43821 51516 57346 58428 86019 87642 103032 114692 116856 131463 172038 175284 229384 258057 262926 344076 350568 516114 525852 688152 774171 1032228 1051704 1548342 2064456 2322513 3096684 4645026 6193368 6967539 9290052 13935078 18580104 27870156 55740312