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42487304448 = 283311784581
BaseRepresentation
bin100111100100011100…
…001101000100000000
311001200000100200202110
4213210130031010000
51144003222220243
631303550215320
73032606062161
oct474434150400
9131600320673
1042487304448
1117022a80756
128298ab4540
134011488244
1420b0a75768
15118a055e33
hex9e470d100

42487304448 has 72 divisors (see below), whose sum is σ = 116725939456. Its totient is φ = 13705574400.

The previous prime is 42487304443. The next prime is 42487304449. The reversal of 42487304448 is 84440378424.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 42487304397 and 42487304406.

It is not an unprimeable number, because it can be changed into a prime (42487304443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 868483 + ... + 916098.

Almost surely, 242487304448 is an apocalyptic number.

42487304448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42487304448 is an abundant number, since it is smaller than the sum of its proper divisors (74238635008).

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

42487304448 is a wasteful number, since it uses less digits than its factorization.

42487304448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784631 (or 1784617 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 48.

The spelling of 42487304448 in words is "forty-two billion, four hundred eighty-seven million, three hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 23808 1784581 3569162 5353743 7138324 10707486 14276648 21414972 28553296 42829944 55322011 57106592 85659888 110644022 114213184 165966033 171319776 221288044 228426368 331932066 342639552 442576088 456852736 663864132 685279104 885152176 1327728264 1370558208 1770304352 2655456528 3540608704 5310913056 7081217408 10621826112 14162434816 21243652224 42487304448