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55474344 = 233223139241
BaseRepresentation
bin1101001110011…
…1100010101000
310212101101111100
43103213202220
5103200134334
65301001400
71242344532
oct323474250
9125341440
1055474344
112934a772
12166b3260
13b654073
147520852
154d0bc99
hex34e78a8

55474344 has 96 divisors (see below), whose sum is σ = 158558400. Its totient is φ = 17487360.

The previous prime is 55474301. The next prime is 55474403. The reversal of 55474344 is 44347455.

55474344 is a `hidden beast` number, since 554 + 74 + 34 + 4 = 666.

55474344 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 55474299 and 55474308.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 230064 + ... + 230304.

It is an arithmetic number, because the mean of its divisors is an integer number (1651650).

Almost surely, 255474344 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 55474344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79279200).

55474344 is an abundant number, since it is smaller than the sum of its proper divisors (103084056).

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

55474344 is a wasteful number, since it uses less digits than its factorization.

55474344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 408 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 55474344 is about 7448.1100958565. The cubic root of 55474344 is about 381.3853954652.

The spelling of 55474344 in words is "fifty-five million, four hundred seventy-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 139 184 207 241 276 278 414 417 482 552 556 723 828 834 964 1112 1251 1446 1656 1668 1928 2169 2502 2892 3197 3336 4338 5004 5543 5784 6394 8676 9591 10008 11086 12788 16629 17352 19182 22172 25576 28773 33258 33499 38364 44344 49887 57546 66516 66998 76728 99774 100497 115092 133032 133996 199548 200994 230184 267992 301491 399096 401988 602982 770477 803976 1205964 1540954 2311431 2411928 3081908 4622862 6163816 6934293 9245724 13868586 18491448 27737172 55474344