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57950412 = 223134353163
BaseRepresentation
bin1101110100010…
…0000011001100
311001001012000120
43131010003030
5104313403122
65430024540
71302366432
oct335040314
9131035016
1057950412
112a791003
12174a8150
13c0100b0
1479a6d52
15514a75c
hex37440cc

57950412 has 96 divisors (see below), whose sum is σ = 152748288. Its totient is φ = 16982784.

The previous prime is 57950411. The next prime is 57950429. The reversal of 57950412 is 21405975.

It is not an unprimeable number, because it can be changed into a prime (57950411) by changing a digit.

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, 355443 + ... + 355605.

It is an arithmetic number, because the mean of its divisors is an integer number (1591128).

Almost surely, 257950412 is an apocalyptic number.

57950412 is a gapful number since it is divisible by the number (52) 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 57950412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76374144).

57950412 is an abundant number, since it is smaller than the sum of its proper divisors (94797876).

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

57950412 is a wasteful number, since it uses less digits than its factorization.

57950412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 57950412 is about 7612.5167980110. The cubic root of 57950412 is about 386.9773170742.

The spelling of 57950412 in words is "fifty-seven million, nine hundred fifty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 53 78 86 106 129 156 159 163 172 212 258 318 326 489 516 559 636 652 689 978 1118 1378 1677 1956 2067 2119 2236 2279 2756 3354 4134 4238 4558 6357 6708 6837 7009 8268 8476 8639 9116 12714 13674 14018 17278 21027 25428 25917 27348 28036 29627 34556 42054 51834 59254 84108 88881 91117 103668 112307 118508 177762 182234 224614 273351 336921 355524 364468 371477 449228 546702 673842 742954 1093404 1114431 1347684 1485908 2228862 4457724 4829201 9658402 14487603 19316804 28975206 57950412