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54314736 = 243733299
BaseRepresentation
bin1100111100110…
…0011011110000
310210012110210220
43033030123300
5102401032421
65220053040
71226445000
oct317143360
9123173726
1054314736
1128728513
1216234180
13b3392c8
1472dc000
154b7d3c6
hex33cc6f0

54314736 has 80 divisors (see below), whose sum is σ = 163680000. Its totient is φ = 15513792.

The previous prime is 54314723. The next prime is 54314737. The reversal of 54314736 is 63741345.

It is a junction number, because it is equal to n+sod(n) for n = 54314697 and 54314706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54314737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14815 + ... + 18113.

It is an arithmetic number, because the mean of its divisors is an integer number (2046000).

Almost surely, 254314736 is an apocalyptic number.

54314736 is a gapful number since it is divisible by the number (56) 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 54314736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840000).

54314736 is an abundant number, since it is smaller than the sum of its proper divisors (109365264).

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

54314736 is a wasteful number, since it uses less digits than its factorization.

54314736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3311 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 54314736 is about 7369.8531871402. The cubic root of 54314736 is about 378.7092308719.

The spelling of 54314736 in words is "fifty-four million, three hundred fourteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 3299 4116 5488 6598 8232 9897 13196 16464 19794 23093 26392 39588 46186 52784 69279 79176 92372 138558 158352 161651 184744 277116 323302 369488 484953 554232 646604 969906 1108464 1131557 1293208 1939812 2263114 2586416 3394671 3879624 4526228 6789342 7759248 9052456 13578684 18104912 27157368 54314736