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54214336 = 2611531453
BaseRepresentation
bin1100111011001…
…1111011000000
310210000101002101
43032303323000
5102334324321
65214000144
71225546201
oct316637300
9123011071
1054214336
112866a040
12161a6054
13b3026b7
1472b35a8
154b5d791
hex33b3ec0

54214336 has 56 divisors (see below), whose sum is σ = 119658384. Its totient is φ = 24161280.

The previous prime is 54214313. The next prime is 54214337. The reversal of 54214336 is 63341245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54214337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36586 + ... + 38038.

Almost surely, 254214336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59829192).

54214336 is an abundant number, since it is smaller than the sum of its proper divisors (65444048).

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

54214336 is a wasteful number, since it uses less digits than its factorization.

54214336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1519 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 54214336 is about 7363.0385032268. The cubic root of 54214336 is about 378.4757407755.

It can be divided in two parts, 542 and 14336, that added together give a triangular number (14878 = T172).

The spelling of 54214336 in words is "fifty-four million, two hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 176 212 352 424 583 704 848 1166 1453 1696 2332 2906 3392 4664 5812 9328 11624 15983 18656 23248 31966 37312 46496 63932 77009 92992 127864 154018 255728 308036 511456 616072 847099 1022912 1232144 1694198 2464288 3388396 4928576 6776792 13553584 27107168 54214336