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54541400 = 23521931463
BaseRepresentation
bin1101000000001…
…1110001011000
310210121222201212
43100003301120
5102430311100
65225002252
71231410554
oct320036130
9123558655
1054541400
1128872841
1216323388
13b3b8524
14735a864
154bc5635
hex3403c58

54541400 has 96 divisors (see below), whose sum is σ = 138086400. Its totient is φ = 19958400.

The previous prime is 54541393. The next prime is 54541427. The reversal of 54541400 is 414545.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117569 + ... + 118031.

It is an arithmetic number, because the mean of its divisors is an integer number (1438400).

Almost surely, 254541400 is an apocalyptic number.

54541400 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 54541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69043200).

54541400 is an abundant number, since it is smaller than the sum of its proper divisors (83545000).

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

54541400 is a wasteful number, since it uses less digits than its factorization.

54541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 54541400 is about 7385.2149596339. The cubic root of 54541400 is about 379.2353042967.

Adding to 54541400 its reverse (414545), we get a palindrome (54955945).

The spelling of 54541400 in words is "fifty-four million, five hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 152 155 190 200 248 310 380 463 475 589 620 760 775 926 950 1178 1240 1550 1852 1900 2315 2356 2945 3100 3704 3800 4630 4712 5890 6200 8797 9260 11575 11780 14353 14725 17594 18520 23150 23560 28706 29450 35188 43985 46300 57412 58900 70376 71765 87970 92600 114824 117800 143530 175940 219925 272707 287060 351880 358825 439850 545414 574120 717650 879700 1090828 1363535 1435300 1759400 2181656 2727070 2870600 5454140 6817675 10908280 13635350 27270700 54541400