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42857464 = 23131923241
BaseRepresentation
bin1010001101111…
…1001111111000
32222122101101111
42203133033320
541432414324
64130330104
71030165606
oct243371770
988571344
1042857464
11222124a1
1212429934
138b57360
145998876
153b68794
hex28df3f8

42857464 has 96 divisors (see below), whose sum is σ = 97549200. Its totient is φ = 17487360.

The previous prime is 42857417. The next prime is 42857471. The reversal of 42857464 is 46475824.

It is a happy number.

It is a super-2 number, since 2×428574642 = 3673524441022592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045284 + ... + 1045324.

Almost surely, 242857464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42857464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48774600).

42857464 is an abundant number, since it is smaller than the sum of its proper divisors (54691736).

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

42857464 is a wasteful number, since it uses less digits than its factorization.

42857464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The square root of 42857464 is about 6546.5612347247. The cubic root of 42857464 is about 349.9522764863.

The spelling of 42857464 in words is "forty-two million, eight hundred fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 19 23 26 38 41 46 52 76 82 92 104 152 164 184 247 299 328 437 494 529 533 598 779 874 943 988 1058 1066 1196 1558 1748 1886 1976 2116 2132 2392 3116 3496 3772 4232 4264 5681 6232 6877 7544 10051 10127 11362 12259 13754 17917 20102 20254 21689 22724 24518 27508 35834 40204 40508 43378 45448 49036 55016 71668 80408 81016 86756 98072 130663 143336 173512 232921 261326 281957 412091 465842 522652 563914 824182 931684 1045304 1127828 1648364 1863368 2255656 3296728 5357183 10714366 21428732 42857464