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57349488 = 24372341181
BaseRepresentation
bin1101101011000…
…1010101110000
310222220122201010
43122301111300
5104140140423
65405110520
71264314450
oct332612560
9128818633
1057349488
112a410579
1217258440
13bb5c711
14788bd60
15507c693
hex36b1570

57349488 has 160 divisors (see below), whose sum is σ = 181988352. Its totient is φ = 15206400.

The previous prime is 57349463. The next prime is 57349489. The reversal of 57349488 is 88494375.

57349488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57349489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316758 + ... + 316938.

Almost surely, 257349488 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 57349488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

57349488 is an abundant number, since it is smaller than the sum of its proper divisors (124638864).

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

57349488 is a wasteful number, since it uses less digits than its factorization.

57349488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 57349488 is about 7572.9444735849. The cubic root of 57349488 is about 385.6350636434.

The spelling of 57349488 in words is "fifty-seven million, three hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 41 42 46 48 56 69 82 84 92 112 123 138 161 164 168 181 184 246 276 287 322 328 336 362 368 483 492 543 552 574 644 656 724 861 943 966 984 1086 1104 1148 1267 1288 1448 1722 1886 1932 1968 2172 2296 2534 2576 2829 2896 3444 3772 3801 3864 4163 4344 4592 5068 5658 6601 6888 7421 7544 7602 7728 8326 8688 10136 11316 12489 13202 13776 14842 15088 15204 16652 19803 20272 22263 22632 24978 26404 29141 29684 30408 33304 39606 44526 45264 49956 51947 52808 58282 59368 60816 66608 79212 87423 89052 99912 103894 105616 116564 118736 155841 158424 170683 174846 178104 199824 207788 233128 311682 316848 341366 349692 356208 415576 466256 512049 623364 682732 699384 831152 1024098 1194781 1246728 1365464 1398768 2048196 2389562 2493456 2730928 3584343 4096392 4779124 7168686 8192784 9558248 14337372 19116496 28674744 57349488