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57148224 = 2637101421
BaseRepresentation
bin1101101000000…
…0001101000000
310222112102121220
43122000031000
5104112220344
65400515040
71262515620
oct332001500
9128472556
1057148224
112a293341
121717ba80
13babbc23
147838880
15503cc19
hex3680340

57148224 has 112 divisors (see below), whose sum is σ = 174930816. Its totient is φ = 16128000.

The previous prime is 57148187. The next prime is 57148249. The reversal of 57148224 is 42284175.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135534 + ... + 135954.

Almost surely, 257148224 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 57148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87465408).

57148224 is an abundant number, since it is smaller than the sum of its proper divisors (117782592).

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

57148224 is a wasteful number, since it uses less digits than its factorization.

57148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 57148224 is about 7559.6444360830. The cubic root of 57148224 is about 385.1834151646.

The spelling of 57148224 in words is "fifty-seven million, one hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 168 192 202 224 303 336 404 421 448 606 672 707 808 842 1212 1263 1344 1414 1616 1684 2121 2424 2526 2828 2947 3232 3368 4242 4848 5052 5656 5894 6464 6736 8484 8841 9696 10104 11312 11788 13472 16968 17682 19392 20208 22624 23576 26944 33936 35364 40416 42521 45248 47152 67872 70728 80832 85042 94304 127563 135744 141456 170084 188608 255126 282912 297647 340168 510252 565824 595294 680336 892941 1020504 1190588 1360672 1785882 2041008 2381176 2721344 3571764 4082016 4762352 7143528 8164032 9524704 14287056 19049408 28574112 57148224