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54623008 = 2511295351
BaseRepresentation
bin1101000001011…
…1101100100000
310210210010200101
43100113230200
5102440414013
65230432144
71232200516
oct320275440
9123703611
1054623008
1128919090
1216362654
13b41670b
14737c4b6
154bde8dd
hex3417b20

54623008 has 48 divisors (see below), whose sum is σ = 121383360. Its totient is φ = 23968000.

The previous prime is 54622987. The next prime is 54623011. The reversal of 54623008 is 80032645.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7533 + ... + 12883.

It is an arithmetic number, because the mean of its divisors is an integer number (2528820).

Almost surely, 254623008 is an apocalyptic number.

54623008 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54623008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60691680).

54623008 is an abundant number, since it is smaller than the sum of its proper divisors (66760352).

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

54623008 is a wasteful number, since it uses less digits than its factorization.

54623008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5401 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 54623008 is about 7390.7379875084. The cubic root of 54623008 is about 379.4243546438.

The spelling of 54623008 in words is "fifty-four million, six hundred twenty-three thousand, eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 5351 10208 10702 21404 42808 58861 85616 117722 155179 171232 235444 310358 470888 620716 941776 1241432 1706969 1883552 2482864 3413938 4965728 6827876 13655752 27311504 54623008