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42521424 = 24311292777
BaseRepresentation
bin1010001000110…
…1001101010000
32222000022102120
42202031031100
541341141144
64115214240
71024266111
oct242151520
988008376
1042521424
1122002a80
12122a7380
138a6a40a
14590c208
153aede19
hex288d350

42521424 has 80 divisors (see below), whose sum is σ = 124009920. Its totient is φ = 12436480.

The previous prime is 42521419. The next prime is 42521443. The reversal of 42521424 is 42412524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42521394 and 42521403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13924 + ... + 16700.

It is an arithmetic number, because the mean of its divisors is an integer number (1550124).

Almost surely, 242521424 is an apocalyptic number.

42521424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42521424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62004960).

42521424 is an abundant number, since it is smaller than the sum of its proper divisors (81488496).

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

42521424 is a wasteful number, since it uses less digits than its factorization.

42521424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2822 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 42521424 is about 6520.8453439719. The cubic root of 42521424 is about 349.0352315125.

Adding to 42521424 its reverse (42412524), we get a palindrome (84933948).

Subtracting from 42521424 its reverse (42412524), we obtain a square (108900 = 3302).

The spelling of 42521424 in words is "forty-two million, five hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 2777 3828 5104 5554 7656 8331 11108 15312 16662 22216 30547 33324 44432 61094 66648 80533 91641 122188 133296 161066 183282 241599 244376 322132 366564 483198 488752 644264 733128 885863 966396 1288528 1466256 1771726 1932792 2657589 3543452 3865584 5315178 7086904 10630356 14173808 21260712 42521424