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42363840 = 263544129
BaseRepresentation
bin1010000110011…
…0101111000000
32221201022021010
42201212233000
541321120330
64112000520
71023041511
oct241465700
987638233
1042363840
1121a05642
1212230140
138a1377c
1458aaa08
153abc3b0
hex2866bc0

42363840 has 56 divisors (see below), whose sum is σ = 134508240. Its totient is φ = 11296768.

The previous prime is 42363823. The next prime is 42363857. The reversal of 42363840 is 4836324.

It is an interprime number because it is at equal distance from previous prime (42363823) and next prime (42363857).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42363798 and 42363807.

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 7 ways as a sum of consecutive naturals, for example, 21105 + ... + 23024.

Almost surely, 242363840 is an apocalyptic number.

42363840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42363840 is an abundant number, since it is smaller than the sum of its proper divisors (92144400).

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

42363840 is a wasteful number, since it uses less digits than its factorization.

42363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44149 (or 44139 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 42363840 is about 6508.7510322642. The cubic root of 42363840 is about 348.6035240023.

The spelling of 42363840 in words is "forty-two million, three hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 44129 88258 132387 176516 220645 264774 353032 441290 529548 661935 706064 882580 1059096 1323870 1412128 1765160 2118192 2647740 2824256 3530320 4236384 5295480 7060640 8472768 10590960 14121280 21181920 42363840