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54919494 = 2327271877
BaseRepresentation
bin1101000110000…
…0000101000110
310211100012101100
43101200011012
5103024410434
65241040530
71234544100
oct321400506
9124305340
1054919494
1129000913
1216486146
13b4bb656
147418570
154c4c699
hex3460146

54919494 has 72 divisors (see below), whose sum is σ = 140529168. Its totient is φ = 15452640.

The previous prime is 54919489. The next prime is 54919511. The reversal of 54919494 is 49491945.

54919494 is a `hidden beast` number, since 549 + 19 + 4 + 94 = 666.

Its product of digits (233280) is a multiple of the sum of its prime divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62184 + ... + 63060.

It is an arithmetic number, because the mean of its divisors is an integer number (1951794).

Almost surely, 254919494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54919494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70264584).

54919494 is an abundant number, since it is smaller than the sum of its proper divisors (85609674).

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

54919494 is a wasteful number, since it uses less digits than its factorization.

54919494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 54919494 is about 7410.7687860302. The cubic root of 54919494 is about 380.1096036563.

The spelling of 54919494 in words is "fifty-four million, nine hundred nineteen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 213 294 426 441 497 639 877 882 994 1278 1491 1754 2631 2982 3479 4473 5262 6139 6958 7893 8946 10437 12278 15786 18417 20874 31311 36834 42973 55251 62267 62622 85946 110502 124534 128919 186801 257838 373602 386757 435869 560403 773514 871738 1120806 1307607 2615214 3051083 3922821 6102166 7845642 9153249 18306498 27459747 54919494