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54905216 = 2731101137
BaseRepresentation
bin1101000101110…
…0100110000000
310211022110210112
43101130212000
5103023431331
65240450452
71234454342
oct321344600
9124273715
1054905216
1128aa1113
1216479a28
13b4b4cc2
147413292
154c4832b
hex345c980

54905216 has 64 divisors (see below), whose sum is σ = 114860160. Its totient is φ = 26112000.

The previous prime is 54905177. The next prime is 54905233. The reversal of 54905216 is 61250945.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400700 + ... + 400836.

It is an arithmetic number, because the mean of its divisors is an integer number (1794690).

Almost surely, 254905216 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 54905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57430080).

54905216 is an abundant number, since it is smaller than the sum of its proper divisors (59954944).

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

54905216 is a wasteful number, since it uses less digits than its factorization.

54905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 54905216 is about 7409.8053955553. The cubic root of 54905216 is about 380.0766604339.

The spelling of 54905216 in words is "fifty-four million, nine hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 101 124 128 137 202 248 274 404 496 548 808 992 1096 1616 1984 2192 3131 3232 3968 4247 4384 6262 6464 8494 8768 12524 12928 13837 16988 17536 25048 27674 33976 50096 55348 67952 100192 110696 135904 200384 221392 271808 400768 428947 442784 543616 857894 885568 1715788 1771136 3431576 6863152 13726304 27452608 54905216