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42798735 = 3257197151
BaseRepresentation
bin1010001101000…
…0111010001111
32222112101211100
42203100322033
541424024420
64125154143
71026532440
oct243207217
988471740
1042798735
1122182361
12123bb953
138b366c5
1459812c7
153b56190
hex28d0e8f

42798735 has 48 divisors (see below), whose sum is σ = 89256960. Its totient is φ = 18532800.

The previous prime is 42798733. The next prime is 42798737. The reversal of 42798735 is 53789724.

42798735 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42798733) and next prime (42798737).

It is not a de Polignac number, because 42798735 - 21 = 42798733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42798733) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2410 + ... + 9560.

It is an arithmetic number, because the mean of its divisors is an integer number (1859520).

Almost surely, 242798735 is an apocalyptic number.

42798735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42798735 is an abundant number, since it is smaller than the sum of its proper divisors (46458225).

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

42798735 is a wasteful number, since it uses less digits than its factorization.

42798735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7185 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 42798735 is about 6542.0742123580. The cubic root of 42798735 is about 349.7923530226.

The spelling of 42798735 in words is "forty-two million, seven hundred ninety-eight thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 7151 21453 35755 50057 64359 107265 135869 150171 250285 321795 407607 450513 679345 750855 951083 1222821 2038035 2252565 2853249 4755415 6114105 8559747 14266245 42798735