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57984240 = 2435241601
BaseRepresentation
bin1101110100110…
…0010011110000
311001002220102110
43131030103300
5104320443430
65430445320
71302600156
oct335142360
9131086373
1057984240
112a804466
1217503840
13c022602
1479b53d6
1551557b0
hex374c4f0

57984240 has 40 divisors (see below), whose sum is σ = 179751888. Its totient is φ = 15462400.

The previous prime is 57984211. The next prime is 57984247. The reversal of 57984240 is 4248975.

57984240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57984247) 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 7 ways as a sum of consecutive naturals, for example, 120561 + ... + 121040.

Almost surely, 257984240 is an apocalyptic number.

It is an amenable number.

57984240 is an abundant number, since it is smaller than the sum of its proper divisors (121767648).

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

57984240 is a wasteful number, since it uses less digits than its factorization.

57984240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241617 (or 241611 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 57984240 is about 7614.7383408755. The cubic root of 57984240 is about 387.0526005328.

The spelling of 57984240 in words is "fifty-seven million, nine hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241601 483202 724803 966404 1208005 1449606 1932808 2416010 2899212 3624015 3865616 4832020 5798424 7248030 9664040 11596848 14496060 19328080 28992120 57984240