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54992688 = 24317193547
BaseRepresentation
bin1101000111000…
…1111100110000
310211110220210020
43101301330300
5103034231223
65242403440
71235300352
oct321617460
9124426706
1054992688
1129050903
1216500580
13b515a6a
1474370d2
154c641e3
hex3471f30

54992688 has 80 divisors (see below), whose sum is σ = 158382720. Its totient is φ = 16339968.

The previous prime is 54992677. The next prime is 54992689. The reversal of 54992688 is 88629945.

54992688 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 (51).

It is a self number, because there is not a number n which added to its sum of digits gives 54992688.

It is not an unprimeable number, because it can be changed into a prime (54992689) by changing a digit.

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, 13731 + ... + 17277.

It is an arithmetic number, because the mean of its divisors is an integer number (1979784).

Almost surely, 254992688 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 54992688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79191360).

54992688 is an abundant number, since it is smaller than the sum of its proper divisors (103390032).

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

54992688 is a wasteful number, since it uses less digits than its factorization.

54992688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3588 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 54992688 is about 7415.7054957704. The cubic root of 54992688 is about 380.2783924878.

The spelling of 54992688 in words is "fifty-four million, nine hundred ninety-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3547 3876 5168 7094 7752 10641 14188 15504 21282 28376 42564 56752 60299 67393 85128 120598 134786 170256 180897 202179 241196 269572 361794 404358 482392 539144 723588 808716 964784 1078288 1145681 1447176 1617432 2291362 2894352 3234864 3437043 4582724 6874086 9165448 13748172 18330896 27496344 54992688