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54457344 = 2103219311
BaseRepresentation
bin1100111110111…
…1010000000000
310210110201102200
43033233100000
5102420113334
65223113200
71230610524
oct317572000
9123421380
1054457344
1128815677
12162a2800
13b3891a6
147337d84
154baa799
hex33ef400

54457344 has 132 divisors (see below), whose sum is σ = 166052640. Its totient is φ = 17141760.

The previous prime is 54457339. The next prime is 54457357. The reversal of 54457344 is 44375445.

54457344 is a `hidden beast` number, since 5 + 44 + 573 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54457299 and 54457308.

It is a congruent number.

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, 174949 + ... + 175259.

Almost surely, 254457344 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 54457344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83026320).

54457344 is an abundant number, since it is smaller than the sum of its proper divisors (111595296).

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

54457344 is a wasteful number, since it uses less digits than its factorization.

54457344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 335 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 54457344 is about 7379.5219357354. The cubic root of 54457344 is about 379.0403857429.

The spelling of 54457344 in words is "fifty-four million, four hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 311 342 384 456 512 576 608 622 684 768 912 933 1024 1152 1216 1244 1368 1536 1824 1866 2304 2432 2488 2736 2799 3072 3648 3732 4608 4864 4976 5472 5598 5909 7296 7464 9216 9728 9952 10944 11196 11818 14592 14928 17727 19456 19904 21888 22392 23636 29184 29856 35454 39808 43776 44784 47272 53181 58368 59712 70908 79616 87552 89568 94544 106362 119424 141816 159232 175104 179136 189088 212724 238848 283632 318464 358272 378176 425448 477696 567264 716544 756352 850896 955392 1134528 1433088 1512704 1701792 2269056 2866176 3025408 3403584 4538112 6050816 6807168 9076224 13614336 18152448 27228672 54457344