Search a number
-
+
54401200 = 2452719429
BaseRepresentation
bin1100111110000…
…1100010110000
310210100212102021
43033201202300
5102411314300
65222001224
71230255040
oct317414260
9123325367
1054401200
1128787477
1216276214
13b369779
147321720
154b98d1a
hex33e18b0

54401200 has 60 divisors (see below), whose sum is σ = 149377840. Its totient is φ = 18650880.

The previous prime is 54401197. The next prime is 54401213. The reversal of 54401200 is 210445.

It is a super-2 number, since 2×544012002 = 5918981122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6915 + ... + 12514.

Almost surely, 254401200 is an apocalyptic number.

54401200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54401200 is an abundant number, since it is smaller than the sum of its proper divisors (94976640).

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

54401200 is a wasteful number, since it uses less digits than its factorization.

54401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19454 (or 19443 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 54401200 is about 7375.7169143074. The cubic root of 54401200 is about 378.9100809369.

Adding to 54401200 its reverse (210445), we get a palindrome (54611645).

The spelling of 54401200 in words is "fifty-four million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 19429 38858 77716 97145 136003 155432 194290 272006 310864 388580 485725 544012 680015 777160 971450 1088024 1360030 1554320 1942900 2176048 2720060 3400075 3885800 5440120 6800150 7771600 10880240 13600300 27200600 54401200