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57416982 = 2376173307
BaseRepresentation
bin1101101100000…
…1110100010110
311000001002021220
43123001310112
5104144320412
65410351210
71265015310
oct333016426
9130032256
1057416982
112a457257
121728b506
13bb8435c
1478a87b0
15509268c
hex36c1d16

57416982 has 64 divisors (see below), whose sum is σ = 135657984. Its totient is φ = 15863040.

The previous prime is 57416981. The next prime is 57416999. The reversal of 57416982 is 28961475.

57416982 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57416981) 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, 186873 + ... + 187179.

It is an arithmetic number, because the mean of its divisors is an integer number (2119656).

Almost surely, 257416982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57416982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67828992).

57416982 is an abundant number, since it is smaller than the sum of its proper divisors (78241002).

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

57416982 is a wasteful number, since it uses less digits than its factorization.

57416982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453.

The product of its digits is 120960, while the sum is 42.

The square root of 57416982 is about 7577.3994219653. The cubic root of 57416982 is about 385.7862875971.

The spelling of 57416982 in words is "fifty-seven million, four hundred sixteen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 61 73 122 146 183 219 307 366 427 438 511 614 854 921 1022 1281 1533 1842 2149 2562 3066 4298 4453 6447 8906 12894 13359 18727 22411 26718 31171 37454 44822 56181 62342 67233 93513 112362 131089 134466 156877 187026 262178 313754 393267 470631 786534 941262 1367071 2734142 4101213 8202426 9569497 19138994 28708491 57416982