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54404406 = 2337229709
BaseRepresentation
bin1100111110001…
…0010100110110
310210101000211000
43033202110312
5102411420111
65222024130
71230300300
oct317422466
9123330730
1054404406
1128789921
1216278046
13b36b074
147322970
154b99c56
hex33e2536

54404406 has 96 divisors (see below), whose sum is σ = 145692000. Its totient is φ = 14986944.

The previous prime is 54404401. The next prime is 54404459. The reversal of 54404406 is 60440445.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 54404406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54404401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76380 + ... + 77088.

It is an arithmetic number, because the mean of its divisors is an integer number (1517625).

Almost surely, 254404406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54404406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72846000).

54404406 is an abundant number, since it is smaller than the sum of its proper divisors (91287594).

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

54404406 is a wasteful number, since it uses less digits than its factorization.

54404406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 54404406 is about 7375.9342459108. The cubic root of 54404406 is about 378.9175241665.

The spelling of 54404406 in words is "fifty-four million, four hundred four thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 261 294 378 406 441 522 609 709 783 882 1218 1323 1418 1421 1566 1827 2127 2646 2842 3654 4254 4263 4963 5481 6381 8526 9926 10962 12762 12789 14889 19143 20561 25578 29778 34741 38286 38367 41122 44667 61683 69482 76734 89334 104223 123366 134001 143927 185049 208446 268002 287854 312669 370098 431781 555147 625338 863562 938007 1007489 1110294 1295343 1876014 2014978 2590686 3022467 3886029 6044934 7772058 9067401 18134802 27202203 54404406