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54468672 = 263367773
BaseRepresentation
bin1100111111001…
…0000001000000
310210111021222020
43033302001000
5102420444142
65223241440
71230655536
oct317620100
9123437866
1054468672
1128823135
12162a9280
13b3913ab
14733c156
154badcec
hex33f2040

54468672 has 56 divisors (see below), whose sum is σ = 144694656. Its totient is φ = 18083328.

The previous prime is 54468647. The next prime is 54468677. The reversal of 54468672 is 27686445.

It is not an unprimeable number, because it can be changed into a prime (54468677) 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, 70078 + ... + 70850.

Almost surely, 254468672 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 54468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72347328).

54468672 is an abundant number, since it is smaller than the sum of its proper divisors (90225984).

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

54468672 is a wasteful number, since it uses less digits than its factorization.

54468672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1145 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 54468672 is about 7380.2894252190. The cubic root of 54468672 is about 379.0666660783.

The spelling of 54468672 in words is "fifty-four million, four hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 367 734 773 1101 1468 1546 2202 2319 2936 3092 4404 4638 5872 6184 8808 9276 11744 12368 17616 18552 23488 24736 35232 37104 49472 70464 74208 148416 283691 567382 851073 1134764 1702146 2269528 3404292 4539056 6808584 9078112 13617168 18156224 27234336 54468672