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42643476 = 22333147271
BaseRepresentation
bin1010001010101…
…1000000010100
32222020111212000
42202223000110
541404042401
64121555300
71025315001
oct242530024
988214760
1042643476
1122086747
1212345b30
138ab0b35
1459408a8
153b25186
hex28ab014

42643476 has 96 divisors (see below), whose sum is σ = 116981760. Its totient is φ = 13413600.

The previous prime is 42643451. The next prime is 42643477. The reversal of 42643476 is 67434624.

42643476 is a `hidden beast` number, since 4 + 2 + 643 + 4 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42643476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42643477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157221 + ... + 157491.

It is an arithmetic number, because the mean of its divisors is an integer number (1218560).

Almost surely, 242643476 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 42643476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58490880).

42643476 is an abundant number, since it is smaller than the sum of its proper divisors (74338284).

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

42643476 is a wasteful number, since it uses less digits than its factorization.

42643476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 42643476 is about 6530.1972405127. The cubic root of 42643476 is about 349.3688653166.

The spelling of 42643476 in words is "forty-two million, six hundred forty-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 47 54 62 93 94 108 124 141 186 188 271 279 282 372 423 542 558 564 813 837 846 1084 1116 1269 1457 1626 1674 1692 2439 2538 2914 3252 3348 4371 4878 5076 5828 7317 8401 8742 9756 12737 13113 14634 16802 17484 25203 25474 26226 29268 33604 38211 39339 50406 50948 52452 75609 76422 78678 100812 114633 151218 152844 157356 226827 229266 302436 343899 394847 453654 458532 687798 789694 907308 1184541 1375596 1579388 2369082 3553623 4738164 7107246 10660869 14214492 21321738 42643476