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42473835 = 3351929571
BaseRepresentation
bin1010001000000…
…1100101101011
32221220220011000
42202001211223
541333130320
64114210043
71024010265
oct242014553
987826130
1042473835
1121a80248
1212283923
138a51861
1458d8b35
153adec90
hex288196b

42473835 has 64 divisors (see below), whose sum is σ = 82368000. Its totient is φ = 20684160.

The previous prime is 42473831. The next prime is 42473843. The reversal of 42473835 is 53837424.

It is a happy number.

It is not a de Polignac number, because 42473835 - 22 = 42473831 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42473835.

It is not an unprimeable number, because it can be changed into a prime (42473831) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 74100 + ... + 74670.

It is an arithmetic number, because the mean of its divisors is an integer number (1287000).

Almost surely, 242473835 is an apocalyptic number.

42473835 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42473835 is a deficient number, since it is larger than the sum of its proper divisors (39894165).

42473835 is a wasteful number, since it uses less digits than its factorization.

42473835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42473835 is about 6517.1953323496. The cubic root of 42473835 is about 348.9049721709.

The spelling of 42473835 in words is "forty-two million, four hundred seventy-three thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 15 19 27 29 45 57 87 95 135 145 171 261 285 435 513 551 571 783 855 1305 1653 1713 2565 2755 2855 3915 4959 5139 8265 8565 10849 14877 15417 16559 24795 25695 32547 49677 54245 74385 77085 82795 97641 149031 162735 248385 292923 314621 447093 488205 745155 943863 1464615 1573105 2235465 2831589 4719315 8494767 14157945 42473835