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54413472 = 253836829
BaseRepresentation
bin1100111110010…
…0100010100000
310210101111020210
43033210202200
5102412212342
65222134120
71230335601
oct317444240
9123344223
1054413472
1128795713
1216281340
13b372229
147325da8
154b9c79c
hex33e48a0

54413472 has 48 divisors (see below), whose sum is σ = 144577440. Its totient is φ = 17916672.

The previous prime is 54413461. The next prime is 54413497. The reversal of 54413472 is 27431445.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 4554 + ... + 11382.

It is an arithmetic number, because the mean of its divisors is an integer number (3012030).

Almost surely, 254413472 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 54413472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72288720).

54413472 is an abundant number, since it is smaller than the sum of its proper divisors (90163968).

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

54413472 is a wasteful number, since it uses less digits than its factorization.

54413472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 6917 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 54413472 is about 7376.5487865261. The cubic root of 54413472 is about 378.9385707184.

The spelling of 54413472 in words is "fifty-four million, four hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 6829 7968 13658 20487 27316 40974 54632 81948 109264 163896 218528 327792 566807 655584 1133614 1700421 2267228 3400842 4534456 6801684 9068912 13603368 18137824 27206736 54413472