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55041552 = 24331031237
BaseRepresentation
bin1101000111110…
…1111000010000
310211120101211000
43101331320100
5103042312202
65243422000
71235562666
oct321757020
9124511730
1055041552
1129084595
1216524900
13b532087
14744ac36
154c7391c
hex347de10

55041552 has 80 divisors (see below), whose sum is σ = 159652480. Its totient is φ = 18154368.

The previous prime is 55041551. The next prime is 55041587. The reversal of 55041552 is 25514055.

55041552 is a `hidden beast` number, since 5 + 504 + 155 + 2 = 666.

55041552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (55041551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43878 + ... + 45114.

It is an arithmetic number, because the mean of its divisors is an integer number (1995656).

Almost surely, 255041552 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 55041552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79826240).

55041552 is an abundant number, since it is smaller than the sum of its proper divisors (104610928).

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

55041552 is a wasteful number, since it uses less digits than its factorization.

55041552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 55041552 is about 7418.9993934492. Note that the first 3 decimals coincide. The cubic root of 55041552 is about 380.3909918356.

It can be divided in two parts, 5504 and 1552, that added together give a square (7056 = 842).

The spelling of 55041552 in words is "fifty-five million, forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1237 1648 1854 2472 2474 2781 3708 3711 4944 4948 5562 7416 7422 9896 11124 11133 14832 14844 19792 22248 22266 29688 33399 44496 44532 59376 66798 89064 127411 133596 178128 254822 267192 382233 509644 534384 764466 1019288 1146699 1528932 2038576 2293398 3057864 3440097 4586796 6115728 6880194 9173592 13760388 18347184 27520776 55041552