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54008676 = 22321500241
BaseRepresentation
bin1100111000000…
…1101101100100
310202121220222100
43032001231210
5102311234201
65205332100
71224031461
oct316015544
9122556870
1054008676
1128539577
1216107030
13b25cbc7
14725c668
154b1c886
hex3381b64

54008676 has 18 divisors (see below), whose sum is σ = 136522022. Its totient is φ = 18002880.

The previous prime is 54008663. The next prime is 54008683. The reversal of 54008676 is 67680045.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 52186176 + 1822500 = 7224^2 + 1350^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1500241 = 54008676 / (5 + 4 + 0 + 0 + 8 + 6 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 54008676.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 750085 + ... + 750156.

Almost surely, 254008676 is an apocalyptic number.

It is an amenable number.

54008676 is an abundant number, since it is smaller than the sum of its proper divisors (82513346).

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

54008676 is a wasteful number, since it uses less digits than its factorization.

54008676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500251 (or 1500246 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 54008676 is about 7349.0595316680. The cubic root of 54008676 is about 377.9965566160.

The spelling of 54008676 in words is "fifty-four million, eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 1500241 3000482 4500723 6000964 9001446 13502169 18002892 27004338 54008676