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54575808 = 263725801
BaseRepresentation
bin1101000000110…
…0001011000000
310210200201221020
43100030023000
5102432411213
65225425440
71231613100
oct320141300
9123621836
1054575808
1128896681
121633b280
13b3cb0a1
147369200
154bd0923
hex340c2c0

54575808 has 84 divisors (see below), whose sum is σ = 168002712. Its totient is φ = 15590400.

The previous prime is 54575761. The next prime is 54575819. The reversal of 54575808 is 80857545.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 54575808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6508 + ... + 12308.

Almost surely, 254575808 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 54575808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84001356).

54575808 is an abundant number, since it is smaller than the sum of its proper divisors (113426904).

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

54575808 is a wasteful number, since it uses less digits than its factorization.

54575808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The square root of 54575808 is about 7387.5441115434. The cubic root of 54575808 is about 379.3150356893.

The spelling of 54575808 in words is "fifty-four million, five hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 5801 9408 11602 17403 23204 34806 40607 46408 69612 81214 92816 121821 139224 162428 185632 243642 278448 284249 324856 371264 487284 556896 568498 649712 852747 974568 1113792 1136996 1299424 1705494 1949136 2273992 2598848 3410988 3898272 4547984 6821976 7796544 9095968 13643952 18191936 27287904 54575808