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42137955 = 3352341331
BaseRepresentation
bin1010000010111…
…1100101100011
32221021211102000
42200233211203
541241403310
64103055043
71021111116
oct240574543
987254360
1042137955
1121870962
1212141483
138964a02
14584c57d
153a754c0
hex282f963

42137955 has 64 divisors (see below), whose sum is σ = 80317440. Its totient is φ = 20908800.

The previous prime is 42137939. The next prime is 42137969. The reversal of 42137955 is 55973124.

42137955 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42137955 - 24 = 42137939 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127140 + ... + 127470.

It is an arithmetic number, because the mean of its divisors is an integer number (1254960).

Almost surely, 242137955 is an apocalyptic number.

42137955 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42137955 is a deficient number, since it is larger than the sum of its proper divisors (38179485).

42137955 is a wasteful number, since it uses less digits than its factorization.

42137955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 42137955 is about 6491.3754320637. The cubic root of 42137955 is about 347.9828320900.

The spelling of 42137955 in words is "forty-two million, one hundred thirty-seven thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 15 23 27 41 45 69 115 123 135 205 207 331 345 369 615 621 943 993 1035 1107 1655 1845 2829 2979 3105 4715 4965 5535 7613 8487 8937 13571 14145 14895 22839 25461 38065 40713 42435 44685 67855 68517 114195 122139 127305 203565 205551 312133 342585 366417 610695 936399 1027755 1560665 1832085 2809197 4681995 8427591 14045985 42137955