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55115776 = 216292
BaseRepresentation
bin1101001001000…
…0000000000000
310211201011122001
43102100000000
5103102201101
65245153344
71236322252
oct322200000
9124634561
1055115776
1129125331
121655b854
13b559ab1
147469cd2
154c8a901
hex3490000

55115776 has 51 divisors (see below), whose sum is σ = 114162841. Its totient is φ = 26607616.

The previous prime is 55115773. The next prime is 55115783. The reversal of 55115776 is 67751155.

The square root of 55115776 is 7424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 26214400 = 5376^2 + 5120^2 .

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (55115773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1900530 + ... + 1900558.

Almost surely, 255115776 is an apocalyptic number.

55115776 is the 7424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55115776

55115776 is an abundant number, since it is smaller than the sum of its proper divisors (59047065).

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

55115776 is an frugal number, since it uses more digits than its factorization.

55115776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 31 counting only the distinct ones).

The product of its digits is 36750, while the sum is 37.

The cubic root of 55115776 is about 380.5619018610.

The spelling of 55115776 in words is "fifty-five million, one hundred fifteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 841 928 1024 1682 1856 2048 3364 3712 4096 6728 7424 8192 13456 14848 16384 26912 29696 32768 53824 59392 65536 107648 118784 215296 237568 430592 475136 861184 950272 1722368 1900544 3444736 6889472 13778944 27557888 55115776