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42424096 = 25111373127
BaseRepresentation
bin1010000111010…
…1011100100000
32221211100220211
42201311130200
541330032341
64113143504
71023412261
oct241653440
987740824
1042424096
1121a46940
121225ab94
138a35020
1458c4968
153ad0181
hex2875720

42424096 has 96 divisors (see below), whose sum is σ = 100251648. Its totient is φ = 17418240.

The previous prime is 42424087. The next prime is 42424103. The reversal of 42424096 is 69042424.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 333985 + ... + 334111.

It is an arithmetic number, because the mean of its divisors is an integer number (1044288).

Almost surely, 242424096 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 42424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50125824).

42424096 is an abundant number, since it is smaller than the sum of its proper divisors (57827552).

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

42424096 is a wasteful number, since it uses less digits than its factorization.

42424096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 42424096 is about 6513.3782325303. The cubic root of 42424096 is about 348.7687238741.

It can be divided in two parts, 4242 and 4096, that added together give a palindrome (8338).

The spelling of 42424096 in words is "forty-two million, four hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 73 88 104 127 143 146 176 208 254 286 292 352 416 508 572 584 803 949 1016 1144 1168 1397 1606 1651 1898 2032 2288 2336 2794 3212 3302 3796 4064 4576 5588 6424 6604 7592 9271 10439 11176 12848 13208 15184 18161 18542 20878 22352 25696 26416 30368 36322 37084 41756 44704 52832 72644 74168 83512 101981 120523 145288 148336 167024 203962 241046 290576 296672 334048 407924 482092 581152 815848 964184 1325753 1631696 1928368 2651506 3263392 3856736 5303012 10606024 21212048 42424096