Search a number
-
+
54863900 = 22527136029
BaseRepresentation
bin1101000101001…
…0100000011100
310211020101010022
43101102200130
5103021121100
65235531312
71234223030
oct321224034
9124211108
1054863900
1128a73073
1216459b38
13b49c260
1474021c0
154c3ae85
hex345281c

54863900 has 72 divisors (see below), whose sum is σ = 146553120. Its totient is φ = 17360640.

The previous prime is 54863867. The next prime is 54863903. The reversal of 54863900 is 936845.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54863903) 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, 6086 + ... + 12114.

It is an arithmetic number, because the mean of its divisors is an integer number (2035460).

Almost surely, 254863900 is an apocalyptic number.

54863900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54863900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73276560).

54863900 is an abundant number, since it is smaller than the sum of its proper divisors (91689220).

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

54863900 is a wasteful number, since it uses less digits than its factorization.

54863900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 54863900 is about 7407.0169434125. The cubic root of 54863900 is about 379.9813010189.

The spelling of 54863900 in words is "fifty-four million, eight hundred sixty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 6029 9100 12058 24116 30145 42203 60290 78377 84406 120580 150725 156754 168812 211015 301450 313508 391885 422030 548639 602900 783770 844060 1055075 1097278 1567540 1959425 2110150 2194556 2743195 3918850 4220300 5486390 7837700 10972780 13715975 27431950 54863900