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54148968 = 23326112329
BaseRepresentation
bin1100111010001…
…1111101101000
310202220001102100
43032203331220
5102330231333
65212333400
71225154466
oct316437550
9122801370
1054148968
1128624a15
1216174260
13b2aba13
147297836
154b49213
hex33a3f68

54148968 has 48 divisors (see below), whose sum is σ = 149069700. Its totient is φ = 17752320.

The previous prime is 54148949. The next prime is 54148973. The reversal of 54148968 is 86984145.

54148968 is a `hidden beast` number, since 541 + 48 + 9 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32970564 + 21178404 = 5742^2 + 4602^2 .

It is a super-2 number, since 2×541489682 = 5864221470930048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1773 + ... + 10556.

Almost surely, 254148968 is an apocalyptic number.

It is an amenable number.

54148968 is an abundant number, since it is smaller than the sum of its proper divisors (94920732).

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

54148968 is a wasteful number, since it uses less digits than its factorization.

54148968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402 (or 12395 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 54148968 is about 7358.5982360773. The cubic root of 54148968 is about 378.3235660676.

The spelling of 54148968 in words is "fifty-four million, one hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 12329 24658 36987 49316 73974 98632 110961 147948 221922 295896 443844 752069 887688 1504138 2256207 3008276 4512414 6016552 6768621 9024828 13537242 18049656 27074484 54148968