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57154328 = 23711314173
BaseRepresentation
bin1101101000000…
…1101100011000
310222112201222222
43122001230120
5104112414303
65401003212
71262542460
oct332015430
9128481888
1057154328
112a297990
1217183508
13bac193a
14783aba0
15503e938
hex3681b18

57154328 has 128 divisors (see below), whose sum is σ = 143216640. Its totient is φ = 20736000.

The previous prime is 57154313. The next prime is 57154373. The reversal of 57154328 is 82345175.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782900 + ... + 782972.

It is an arithmetic number, because the mean of its divisors is an integer number (1118880).

Almost surely, 257154328 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 57154328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71608320).

57154328 is an abundant number, since it is smaller than the sum of its proper divisors (86062312).

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

57154328 is a wasteful number, since it uses less digits than its factorization.

57154328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 57154328 is about 7560.0481479948. The cubic root of 57154328 is about 385.1971284859.

The spelling of 57154328 in words is "fifty-seven million, one hundred fifty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 31 41 44 56 62 73 77 82 88 124 146 154 164 217 248 287 292 308 328 341 434 451 511 574 584 616 682 803 868 902 1022 1148 1271 1364 1606 1736 1804 2044 2263 2296 2387 2542 2728 2993 3157 3212 3608 4088 4526 4774 5084 5621 5986 6314 6424 8897 9052 9548 10168 11242 11972 12628 13981 15841 17794 18104 19096 20951 22484 23944 24893 25256 27962 31682 32923 35588 41902 44968 49786 55924 63364 65846 71176 83804 92783 97867 99572 111848 126728 131692 167608 174251 185566 195734 199144 230461 263384 348502 371132 391468 460922 649481 697004 742264 782936 921844 1020613 1298962 1394008 1843688 2041226 2597924 4082452 5195848 7144291 8164904 14288582 28577164 57154328