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54991692 = 22327474643
BaseRepresentation
bin1101000111000…
…1101101001100
310211110212102100
43101301231030
5103034213232
65242355100
71235264430
oct321615514
9124425370
1054991692
1129050088
12164bba90
13b515482
1474369c0
154c63c7c
hex3471b4c

54991692 has 72 divisors (see below), whose sum is σ = 162279936. Its totient is φ = 15374304.

The previous prime is 54991679. The next prime is 54991693. The reversal of 54991692 is 29619945.

54991692 is a `hidden beast` number, since 549 + 9 + 16 + 92 = 666.

54991692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54991693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9523 + ... + 14165.

It is an arithmetic number, because the mean of its divisors is an integer number (2253888).

Almost surely, 254991692 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 54991692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81139968).

54991692 is an abundant number, since it is smaller than the sum of its proper divisors (107288244).

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

54991692 is a wasteful number, since it uses less digits than its factorization.

54991692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4702 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 54991692 is about 7415.6383406960. The cubic root of 54991692 is about 380.2760966701.

The spelling of 54991692 in words is "fifty-four million, nine hundred ninety-one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 4643 5922 9286 11844 13929 18572 27858 32501 41787 55716 65002 83574 97503 130004 167148 195006 218221 292509 390012 436442 585018 654663 872884 1170036 1309326 1527547 1963989 2618652 3055094 3927978 4582641 6110188 7855956 9165282 13747923 18330564 27495846 54991692