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57254946 = 2371725389
BaseRepresentation
bin1101101001101…
…0010000100010
310222201212000120
43122122100202
5104124124241
65403101110
71263442020
oct332322042
9128655016
1057254946
112a356541
1217211796
13bb28688
147865710
15505e666
hex369a422

57254946 has 96 divisors (see below), whose sum is σ = 143233920. Its totient is φ = 14936064.

The previous prime is 57254941. The next prime is 57254959. The reversal of 57254946 is 64945275.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 57254898 and 57254907.

It is not an unprimeable number, because it can be changed into a prime (57254941) 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 47 ways as a sum of consecutive naturals, for example, 643270 + ... + 643358.

It is an arithmetic number, because the mean of its divisors is an integer number (1492020).

Almost surely, 257254946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57254946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71616960).

57254946 is an abundant number, since it is smaller than the sum of its proper divisors (85978974).

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

57254946 is a wasteful number, since it uses less digits than its factorization.

57254946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 57254946 is about 7566.6998090317. The cubic root of 57254946 is about 385.4230375546.

The spelling of 57254946 in words is "fifty-seven million, two hundred fifty-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 53 89 102 106 119 159 178 238 267 289 318 357 371 534 578 623 714 742 867 901 1113 1246 1513 1734 1802 1869 2023 2226 2703 3026 3738 4046 4539 4717 5406 6069 6307 9078 9434 10591 12138 12614 14151 15317 18921 21182 25721 28302 30634 31773 33019 37842 45951 51442 63546 66038 77163 80189 91902 99057 107219 154326 160378 180047 198114 214438 240567 321657 360094 481134 540141 561323 643314 1080282 1122646 1363213 1683969 2726426 3367938 4089639 8179278 9542491 19084982 28627473 57254946