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42458885424 = 243398284457
BaseRepresentation
bin100111100010101111…
…110010110100110000
311001121000212212012000
4213202233302310300
51143423433313144
631301053134000
73032112366654
oct474257626460
9131530785160
1042458885424
1117008a3005a
12828b48a300
134008617a57
1420aad98a64
1511877e0769
hex9e2bf2d30

42458885424 has 40 divisors (see below), whose sum is σ = 121872727920. Its totient is φ = 14152961664.

The previous prime is 42458885423. The next prime is 42458885429.

42458885424 is a `hidden beast` number, since 4 + 2 + 4 + 588 + 8 + 54 + 2 + 4 = 666.

42458885424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42458885423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49141797 + ... + 49142660.

It is an arithmetic number, because the mean of its divisors is an integer number (3046818198).

Almost surely, 242458885424 is an apocalyptic number.

It is an amenable number.

42458885424 is an abundant number, since it is smaller than the sum of its proper divisors (79413842496).

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

42458885424 is a wasteful number, since it uses less digits than its factorization.

42458885424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98284474 (or 98284462 counting only the distinct ones).

The product of its digits is 13107200, while the sum is 54.

The spelling of 42458885424 in words is "forty-two billion, four hundred fifty-eight million, eight hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 98284457 196568914 294853371 393137828 589706742 786275656 884560113 1179413484 1572551312 1769120226 2358826968 2653680339 3538240452 4717653936 5307360678 7076480904 10614721356 14152961808 21229442712 42458885424