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54148464 = 24323710163
BaseRepresentation
bin1100111010001…
…1110101110000
310202220000201200
43032203311300
5102330222324
65212331200
71225153146
oct316436560
9122800650
1054148464
11286245a7
1216173b00
13b2ab716
147297596
154b48ec9
hex33a3d70

54148464 has 60 divisors (see below), whose sum is σ = 155651496. Its totient is φ = 17559936.

The previous prime is 54148447. The next prime is 54148469. The reversal of 54148464 is 46484145.

It is a happy number.

54148464 is a `hidden beast` number, since 54 + 148 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54148469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247 + ... + 10409.

Almost surely, 254148464 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 54148464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77825748).

54148464 is an abundant number, since it is smaller than the sum of its proper divisors (101503032).

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

54148464 is a wasteful number, since it uses less digits than its factorization.

54148464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10214 (or 10205 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 54148464 is about 7358.5639903449. The cubic root of 54148464 is about 378.3223922953.

The spelling of 54148464 in words is "fifty-four million, one hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 10163 20326 30489 40652 60978 81304 91467 121956 162608 182934 243912 365868 376031 487824 731736 752062 1128093 1463472 1504124 2256186 3008248 3384279 4512372 6016496 6768558 9024744 13537116 18049488 27074232 54148464