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55429488 = 2433314139
BaseRepresentation
bin1101001101110…
…0100101110000
310212022002222000
43103130211300
5103142220423
65300014000
71242100002
oct323344560
9125262860
1055429488
1129319aa4
1216691300
13b63981a
14750c372
154ced843
hex34dc970

55429488 has 80 divisors (see below), whose sum is σ = 164275200. Its totient is φ = 17876160.

The previous prime is 55429463. The next prime is 55429501. The reversal of 55429488 is 88492455.

55429488 is a `hidden beast` number, since 554 + 2 + 94 + 8 + 8 = 666.

55429488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11323 + ... + 15461.

It is an arithmetic number, because the mean of its divisors is an integer number (2053440).

Almost surely, 255429488 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 55429488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82137600).

55429488 is an abundant number, since it is smaller than the sum of its proper divisors (108845712).

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

55429488 is a wasteful number, since it uses less digits than its factorization.

55429488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4175 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 55429488 is about 7445.0982532133. The cubic root of 55429488 is about 381.2825729404.

The spelling of 55429488 in words is "fifty-five million, four hundred twenty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4139 4464 6696 8278 12417 13392 16556 24834 33112 37251 49668 66224 74502 99336 111753 128309 149004 198672 223506 256618 298008 384927 447012 513236 596016 769854 894024 1026472 1154781 1539708 1788048 2052944 2309562 3079416 3464343 4619124 6158832 6928686 9238248 13857372 18476496 27714744 55429488