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55242648 = 2335157181
BaseRepresentation
bin1101001010111…
…0111110011000
310211221121200000
43102232332120
5103120231043
65252013000
71240361166
oct322567630
9124847600
1055242648
112920168a
1216601160
13b5a2776
1474a0236
154cb32d3
hex34aef98

55242648 has 96 divisors (see below), whose sum is σ = 157007760. Its totient is φ = 18195840.

The previous prime is 55242643. The next prime is 55242667. The reversal of 55242648 is 84624255.

It is a happy number.

55242648 is a `hidden beast` number, since 5 + 5 + 2 + 4 + 2 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55242641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305118 + ... + 305298.

Almost surely, 255242648 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 55242648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78503880).

55242648 is an abundant number, since it is smaller than the sum of its proper divisors (101765112).

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

55242648 is a wasteful number, since it uses less digits than its factorization.

55242648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 55242648 is about 7432.5398081679. The cubic root of 55242648 is about 380.8536855259.

The spelling of 55242648 in words is "fifty-five million, two hundred forty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 181 216 243 314 324 362 471 486 543 628 648 724 942 972 1086 1256 1413 1448 1629 1884 1944 2172 2826 3258 3768 4239 4344 4887 5652 6516 8478 9774 11304 12717 13032 14661 16956 19548 25434 28417 29322 33912 38151 39096 43983 50868 56834 58644 76302 85251 87966 101736 113668 117288 152604 170502 175932 227336 255753 305208 341004 351864 511506 682008 767259 1023012 1534518 2046024 2301777 3069036 4603554 6138072 6905331 9207108 13810662 18414216 27621324 55242648