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54292098 = 2373233137
BaseRepresentation
bin1100111100011…
…0111010000010
310210011022202110
43033012322002
5102344321343
65215400150
71226322000
oct317067202
9123138673
1054292098
1128712503
1216223056
13b32bc03
1472d3a70
154b76833
hex33c6e82

54292098 has 128 divisors (see below), whose sum is σ = 140083200. Its totient is φ = 13970880.

The previous prime is 54292081. The next prime is 54292099. The reversal of 54292098 is 89029245.

54292098 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54292099) 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 63 ways as a sum of consecutive naturals, for example, 1467336 + ... + 1467372.

It is an arithmetic number, because the mean of its divisors is an integer number (1094400).

Almost surely, 254292098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54292098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70041600).

54292098 is an abundant number, since it is smaller than the sum of its proper divisors (85791102).

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

54292098 is a wasteful number, since it uses less digits than its factorization.

54292098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 54292098 is about 7368.3171755836. The cubic root of 54292098 is about 378.6566091123.

The spelling of 54292098 in words is "fifty-four million, two hundred ninety-two thousand, ninety-eight".

Divisors: 1 2 3 6 7 14 21 23 31 37 42 46 49 62 69 74 93 98 111 138 147 161 186 217 222 259 294 322 343 434 483 518 651 686 713 777 851 966 1029 1127 1147 1302 1426 1519 1554 1702 1813 2058 2139 2254 2294 2553 3038 3381 3441 3626 4278 4557 4991 5106 5439 5957 6762 6882 7889 8029 9114 9982 10633 10878 11914 12691 14973 15778 16058 17871 21266 23667 24087 25382 26381 29946 31899 34937 35742 38073 41699 47334 48174 52762 56203 63798 69874 76146 79143 83398 104811 112406 125097 158286 168609 184667 209622 244559 250194 291893 337218 369334 393421 489118 554001 583786 733677 786842 875679 1108002 1180263 1292669 1467354 1751358 2360526 2585338 3878007 7756014 9048683 18097366 27146049 54292098