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54979904 = 267177219
BaseRepresentation
bin1101000110111…
…0110101000000
310211110021020202
43101232311000
5103033324104
65242224332
71235215160
oct321566500
9124407222
1054979904
1129042241
12164b50a8
13b50ccb5
1474325a0
154c6051e
hex346ed40

54979904 has 56 divisors (see below), whose sum is σ = 132039360. Its totient is φ = 22173696.

The previous prime is 54979889. The next prime is 54979931. The reversal of 54979904 is 40997945.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4007 + ... + 11225.

Almost surely, 254979904 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 54979904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66019680).

54979904 is an abundant number, since it is smaller than the sum of its proper divisors (77059456).

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

54979904 is a wasteful number, since it uses less digits than its factorization.

54979904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 54979904 is about 7414.8434912680. The cubic root of 54979904 is about 380.2489227776.

The spelling of 54979904 in words is "fifty-four million, nine hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7219 7616 14438 28876 50533 57752 101066 115504 122723 202132 231008 245446 404264 462016 490892 808528 859061 981784 1617056 1718122 1963568 3234112 3436244 3927136 6872488 7854272 13744976 27489952 54979904