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54194980 = 22572173253
BaseRepresentation
bin1100111010111…
…1001100100100
310202222101112111
43032233030210
5102333214410
65213330404
71225435600
oct316571444
9122871474
1054194980
1128656544
1216196a04
13b2c6948
1472aa500
154b57b8a
hex33af324

54194980 has 72 divisors (see below), whose sum is σ = 140221368. Its totient is φ = 17482752.

The previous prime is 54194977. The next prime is 54194983. The reversal of 54194980 is 8949145.

It is an interprime number because it is at equal distance from previous prime (54194977) and next prime (54194983).

It can be written as a sum of positive squares in 4 ways, for example, as 29354724 + 24840256 = 5418^2 + 4984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54194983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15034 + ... + 18286.

It is an arithmetic number, because the mean of its divisors is an integer number (1947519).

Almost surely, 254194980 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 54194980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70110684).

54194980 is an abundant number, since it is smaller than the sum of its proper divisors (86026388).

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

54194980 is a wasteful number, since it uses less digits than its factorization.

54194980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 54194980 is about 7361.7239828725. The cubic root of 54194980 is about 378.4306933521.

The spelling of 54194980 in words is "fifty-four million, one hundred ninety-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3253 3332 4165 6506 8330 13012 16265 16660 22771 32530 45542 55301 65060 91084 110602 113855 159397 221204 227710 276505 318794 387107 455420 553010 637588 774214 796985 1106020 1548428 1593970 1935535 2709749 3187940 3871070 5419498 7742140 10838996 13548745 27097490 54194980