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57379104 = 253547157
BaseRepresentation
bin1101101011100…
…0100100100000
310222222011100000
43122320210200
5104142112404
65405500000
71264500006
oct332704440
9128864300
1057379104
112a430852
1217271600
13bb70043
147898a76
155086339
hex36b8920

57379104 has 144 divisors (see below), whose sum is σ = 173916288. Its totient is φ = 18600192.

The previous prime is 57379087. The next prime is 57379121. The reversal of 57379104 is 40197375.

It is a happy number.

57379104 is a `hidden beast` number, since 573 + 79 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (57379087) and next prime (57379121).

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 365394 + ... + 365550.

It is an arithmetic number, because the mean of its divisors is an integer number (1207752).

Almost surely, 257379104 is an apocalyptic number.

57379104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57379104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86958144).

57379104 is an abundant number, since it is smaller than the sum of its proper divisors (116537184).

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

57379104 is a wasteful number, since it uses less digits than its factorization.

57379104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 57379104 is about 7574.8996032951. The cubic root of 57379104 is about 385.7014344925.

It can be divided in two parts, 5737 and 9104, that added together give a palindrome (14841).

The spelling of 57379104 in words is "fifty-seven million, three hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 157 162 188 216 243 282 288 314 324 376 423 432 471 486 564 628 648 752 846 864 942 972 1128 1256 1269 1296 1413 1504 1692 1884 1944 2256 2512 2538 2592 2826 3384 3768 3807 3888 4239 4512 5024 5076 5652 6768 7379 7536 7614 7776 8478 10152 11304 11421 12717 13536 14758 15072 15228 16956 20304 22137 22608 22842 25434 29516 30456 33912 38151 40608 44274 45216 45684 50868 59032 60912 66411 67824 76302 88548 91368 101736 118064 121824 132822 135648 152604 177096 182736 199233 203472 236128 265644 305208 354192 365472 398466 406944 531288 597699 610416 708384 796932 1062576 1195398 1220832 1593864 1793097 2125152 2390796 3187728 3586194 4781592 6375456 7172388 9563184 14344776 19126368 28689552 57379104