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54665000 = 235413292
BaseRepresentation
bin1101000010000…
…1111100101000
310210212021021122
43100201330220
5102443240000
65231354412
71232434115
oct320417450
9123767248
1054665000
1128947695
1216382a08
13b42c870
14738d90c
154bec085
hex3421f28

54665000 has 120 divisors (see below), whose sum is σ = 142852710. Its totient is φ = 19488000.

The previous prime is 54664949. The next prime is 54665027. The reversal of 54665000 is 56645.

It can be written as a sum of positive squares in 15 ways, for example, as 30713764 + 23951236 = 5542^2 + 4894^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1884986 + ... + 1885014.

Almost surely, 254665000 is an apocalyptic number.

54665000 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 54665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71426355).

54665000 is an abundant number, since it is smaller than the sum of its proper divisors (88187710).

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

54665000 is a wasteful number, since it uses less digits than its factorization.

54665000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 54665000 is about 7393.5782947095. The cubic root of 54665000 is about 379.5215585328.

Multiplying 54665000 by its sum of digits (26), we get a square (1421290000 = 377002).

54665000 divided by its sum of digits (26) gives a square (2102500 = 14502).

The spelling of 54665000 in words is "fifty-four million, six hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 125 130 145 200 232 250 260 290 325 377 500 520 580 625 650 725 754 841 1000 1160 1250 1300 1450 1508 1625 1682 1885 2500 2600 2900 3016 3250 3364 3625 3770 4205 5000 5800 6500 6728 7250 7540 8125 8410 9425 10933 13000 14500 15080 16250 16820 18125 18850 21025 21866 29000 32500 33640 36250 37700 42050 43732 47125 54665 65000 72500 75400 84100 87464 94250 105125 109330 145000 168200 188500 210250 218660 235625 273325 377000 420500 437320 471250 525625 546650 841000 942500 1051250 1093300 1366625 1885000 2102500 2186600 2733250 4205000 5466500 6833125 10933000 13666250 27332500 54665000