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42867144 = 233522051
BaseRepresentation
bin1010001110000…
…1100111001000
32222122212200000
42203201213020
541433222034
64130443000
71030236045
oct243414710
988585600
1042867144
11222197a1
1212433460
138b5b898
14599c1cc
153b6b599
hex28e19c8

42867144 has 48 divisors (see below), whose sum is σ = 120403920. Its totient is φ = 14288400.

The previous prime is 42867131. The next prime is 42867157. The reversal of 42867144 is 44176824.

It is an interprime number because it is at equal distance from previous prime (42867131) and next prime (42867157).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42867099 and 42867108.

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 11 ways as a sum of consecutive naturals, for example, 9082 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (2508415).

Almost surely, 242867144 is an apocalyptic number.

It is an amenable number.

42867144 is an abundant number, since it is smaller than the sum of its proper divisors (77536776).

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

42867144 is a wasteful number, since it uses less digits than its factorization.

42867144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22072 (or 22056 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42867144 is about 6547.3005124249. The cubic root of 42867144 is about 349.9786218235.

The spelling of 42867144 in words is "forty-two million, eight hundred sixty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 22051 44102 66153 88204 132306 176408 198459 264612 396918 529224 595377 793836 1190754 1587672 1786131 2381508 3572262 4763016 5358393 7144524 10716786 14289048 21433572 42867144