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42614424 = 23367307
BaseRepresentation
bin1010001010001…
…1111010011000
32222012001000000
42202203322120
541402130144
64121213000
71025134206
oct242437230
988161000
1042614424
1122066936
1212331160
138aa0848
145934076
153b1b769
hex28a3e98

42614424 has 56 divisors (see below), whose sum is σ = 119814660. Its totient is φ = 14202864.

The previous prime is 42614401. The next prime is 42614437. The reversal of 42614424 is 42441624.

It is a happy number.

42614424 is a `hidden beast` number, since 4 + 2 + 614 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2179 + ... + 9485.

Almost surely, 242614424 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 42614424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59907330).

42614424 is an abundant number, since it is smaller than the sum of its proper divisors (77200236).

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

42614424 is an equidigital number, since it uses as much as digits as its factorization.

42614424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331 (or 7312 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 42614424 is about 6527.9724264124. The cubic root of 42614424 is about 349.2895083547.

The spelling of 42614424 in words is "forty-two million, six hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 7307 14614 21921 29228 43842 58456 65763 87684 131526 175368 197289 263052 394578 526104 591867 789156 1183734 1578312 1775601 2367468 3551202 4734936 5326803 7102404 10653606 14204808 21307212 42614424