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55428480 = 273259623
BaseRepresentation
bin1101001101110…
…0010110000000
310212022001120200
43103130112000
5103142202410
65300005200
71242064032
oct323342600
9125261520
1055428480
1129319268
1216690800
13b639223
14750bc52
154ced3c0
hex34dc580

55428480 has 96 divisors (see below), whose sum is σ = 191421360. Its totient is φ = 14779392.

The previous prime is 55428473. The next prime is 55428481. The reversal of 55428480 is 8482455.

55428480 is a `hidden beast` number, since 554 + 28 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×554284802 = 6144632790220800, which contains 22 as substring.

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 (55428481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949 + ... + 10571.

Almost surely, 255428480 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 55428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95710680).

55428480 is an abundant number, since it is smaller than the sum of its proper divisors (135992880).

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

55428480 is a wasteful number, since it uses less digits than its factorization.

55428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 55428480 is about 7445.0305573584. The cubic root of 55428480 is about 381.2802616846.

The spelling of 55428480 in words is "fifty-five million, four hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 9623 19246 28869 38492 48115 57738 76984 86607 96230 115476 144345 153968 173214 192460 230952 288690 307936 346428 384920 433035 461904 577380 615872 692856 769840 866070 923808 1154760 1231744 1385712 1539680 1732140 1847616 2309520 2771424 3079360 3464280 3695232 4619040 5542848 6158720 6928560 9238080 11085696 13857120 18476160 27714240 55428480