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55296240 = 24351713553
BaseRepresentation
bin1101001011110…
…0000011110000
310212001100011220
43102330003300
5103123434430
65253105040
71241003346
oct322740360
9125040156
1055296240
112923897a
1216628180
13b5c0c8c
1474b5996
154cc4110
hex34bc0f0

55296240 has 80 divisors (see below), whose sum is σ = 181515168. Its totient is φ = 13877248.

The previous prime is 55296229. The next prime is 55296247. The reversal of 55296240 is 4269255.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55296247) 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, 2697 + ... + 10856.

It is the magic constant of a 480 × 480 magic square.

Almost surely, 255296240 is an apocalyptic number.

It is an amenable number.

55296240 is an abundant number, since it is smaller than the sum of its proper divisors (126218928).

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

55296240 is a wasteful number, since it uses less digits than its factorization.

55296240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13586 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 55296240 is about 7436.1441621313. The cubic root of 55296240 is about 380.9768036525.

The spelling of 55296240 in words is "fifty-five million, two hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 13553 27106 40659 54212 67765 81318 108424 135530 162636 203295 216848 230401 271060 325272 406590 460802 542120 650544 691203 813180 921604 1084240 1152005 1382406 1626360 1843208 2304010 2764812 3252720 3456015 3686416 4608020 5529624 6912030 9216040 11059248 13824060 18432080 27648120 55296240