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54265216 = 271953421
BaseRepresentation
bin1100111100000…
…0010110000000
310210002221212211
43033000112000
5102342441331
65215031504
71226150425
oct317002600
9123087784
1054265216
11286a4295
121620b594
13b31c8c5
1472c7d4c
154b6d8b1
hex33c0580

54265216 has 64 divisors (see below), whose sum is σ = 116218800. Its totient is φ = 25159680.

The previous prime is 54265187. The next prime is 54265217. The reversal of 54265216 is 61256245.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54265217) 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, 128686 + ... + 129106.

Almost surely, 254265216 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 54265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58109400).

54265216 is an abundant number, since it is smaller than the sum of its proper divisors (61953584).

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

54265216 is a wasteful number, since it uses less digits than its factorization.

54265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 54265216 is about 7366.4927882948. The cubic root of 54265216 is about 378.5941032241.

The spelling of 54265216 in words is "fifty-four million, two hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 128 152 212 304 421 424 608 842 848 1007 1216 1684 1696 2014 2432 3368 3392 4028 6736 6784 7999 8056 13472 15998 16112 22313 26944 31996 32224 44626 53888 63992 64448 89252 127984 128896 178504 255968 357008 423947 511936 714016 847894 1023872 1428032 1695788 2856064 3391576 6783152 13566304 27132608 54265216