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54669440 = 275712203
BaseRepresentation
bin1101000010001…
…1000010000000
310210212111101002
43100203002000
5102443410230
65231431132
71232453060
oct320430200
9123774332
1054669440
112894aa61
12163854a8
13b4318a7
1473913a0
154bed545
hex3423080

54669440 has 64 divisors (see below), whose sum is σ = 149376960. Its totient is φ = 18742272.

The previous prime is 54669431. The next prime is 54669443. The reversal of 54669440 is 4496645.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 54669394 and 54669403.

It is not an unprimeable number, because it can be changed into a prime (54669443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1622 + ... + 10581.

It is an arithmetic number, because the mean of its divisors is an integer number (2334015).

Almost surely, 254669440 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 54669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74688480).

54669440 is an abundant number, since it is smaller than the sum of its proper divisors (94707520).

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

54669440 is a wasteful number, since it uses less digits than its factorization.

54669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12229 (or 12217 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 54669440 is about 7393.8785491784. The cubic root of 54669440 is about 379.5318334198.

The spelling of 54669440 in words is "fifty-four million, six hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 12203 24406 48812 61015 85421 97624 122030 170842 195248 244060 341684 390496 427105 488120 683368 780992 854210 976240 1366736 1561984 1708420 1952480 2733472 3416840 3904960 5466944 6833680 7809920 10933888 13667360 27334720 54669440