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54682496 = 271171547
BaseRepresentation
bin1101000010011…
…0001110000000
310210220011021122
43100212032000
5102444314441
65232011412
71232536121
oct320461600
9123804248
1054682496
1128959850
1216390b68
13b43780b
147396048
154c0234b
hex3426380

54682496 has 64 divisors (see below), whose sum is σ = 120735360. Its totient is φ = 24460800.

The previous prime is 54682493. The next prime is 54682577. The reversal of 54682496 is 69428645.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54682493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99695 + ... + 100241.

It is an arithmetic number, because the mean of its divisors is an integer number (1886490).

Almost surely, 254682496 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 54682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60367680).

54682496 is an abundant number, since it is smaller than the sum of its proper divisors (66052864).

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

54682496 is a wasteful number, since it uses less digits than its factorization.

54682496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 54682496 is about 7394.7613889834. The cubic root of 54682496 is about 379.5620439190.

The spelling of 54682496 in words is "fifty-four million, six hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 284 352 547 568 704 781 1094 1136 1408 1562 2188 2272 3124 4376 4544 6017 6248 8752 9088 12034 12496 17504 24068 24992 35008 38837 48136 49984 70016 77674 96272 99968 155348 192544 310696 385088 427207 621392 770176 854414 1242784 1708828 2485568 3417656 4971136 6835312 13670624 27341248 54682496