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42428882424 = 2333789536857
BaseRepresentation
bin100111100000111101…
…010101110111111000
311001111221102112210210
4213200331111313320
51143343243214144
631254102111120
73031266356445
oct474075256770
9131457375723
1042428882424
1116aa2aa8395
12828141b4a0
1340023415b6
1420a6dc89cc
151184d65ab9
hex9e0f55df8

42428882424 has 64 divisors (see below), whose sum is σ = 110163261600. Its totient is φ = 13606078464.

The previous prime is 42428882401. The next prime is 42428882429.

42428882424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424288824242 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42428882429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189397 + ... + 347460.

Almost surely, 242428882424 is an apocalyptic number.

It is an amenable number.

42428882424 is an abundant number, since it is smaller than the sum of its proper divisors (67734379176).

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

42428882424 is a wasteful number, since it uses less digits than its factorization.

42428882424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536992 (or 536988 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 48.

The spelling of 42428882424 in words is "forty-two billion, four hundred twenty-eight million, eight hundred eighty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 89 111 148 178 222 267 296 356 444 534 712 888 1068 2136 3293 6586 9879 13172 19758 26344 39516 79032 536857 1073714 1610571 2147428 3221142 4294856 6442284 12884568 19863709 39727418 47780273 59591127 79454836 95560546 119182254 143340819 158909672 191121092 238364508 286681638 382242184 476729016 573363276 1146726552 1767870101 3535740202 5303610303 7071480404 10607220606 14142960808 21214441212 42428882424