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42729888 = 253445103
BaseRepresentation
bin1010001100000…
…0000110100000
32222101220101110
42203000012200
541414324023
64123503320
71026124635
oct243000640
988356343
1042729888
1122135663
1212387b40
138b11276
14596418c
153b40a93
hex28c01a0

42729888 has 24 divisors (see below), whose sum is σ = 112166208. Its totient is φ = 14243264.

The previous prime is 42729793. The next prime is 42729899. The reversal of 42729888 is 88892724.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 222456 + ... + 222647.

It is an arithmetic number, because the mean of its divisors is an integer number (4673592).

Almost surely, 242729888 is an apocalyptic number.

42729888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42729888 is an abundant number, since it is smaller than the sum of its proper divisors (69436320).

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

42729888 is a wasteful number, since it uses less digits than its factorization.

42729888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445116 (or 445108 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 42729888 is about 6536.8102312978. The cubic root of 42729888 is about 349.6046910998.

The spelling of 42729888 in words is "forty-two million, seven hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 445103 890206 1335309 1780412 2670618 3560824 5341236 7121648 10682472 14243296 21364944 42729888