Search a number
-
+
54198480 = 2435732261
BaseRepresentation
bin1100111011000…
…0000011010000
310202222120100010
43032300003100
5102333322410
65213354520
71225452030
oct316600320
9122876303
1054198480
1128659136
1216198a40
13b2c840b
1472ab8c0
154b58c20
hex33b00d0

54198480 has 80 divisors (see below), whose sum is σ = 192023424. Its totient is φ = 12387840.

The previous prime is 54198479. The next prime is 54198481. The reversal of 54198480 is 8489145.

It is an interprime number because it is at equal distance from previous prime (54198479) and next prime (54198481).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54198481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14451 + ... + 17810.

Almost surely, 254198480 is an apocalyptic number.

It is an amenable number.

54198480 is an abundant number, since it is smaller than the sum of its proper divisors (137824944).

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

54198480 is a wasteful number, since it uses less digits than its factorization.

54198480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32284 (or 32278 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 54198480 is about 7361.9616950919. The cubic root of 54198480 is about 378.4388397334.

The spelling of 54198480 in words is "fifty-four million, one hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 32261 64522 96783 129044 161305 193566 225827 258088 322610 387132 451654 483915 516176 645220 677481 774264 903308 967830 1129135 1290440 1354962 1548528 1806616 1935660 2258270 2580880 2709924 3387405 3613232 3871320 4516540 5419848 6774810 7742640 9033080 10839696 13549620 18066160 27099240 54198480