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42302953 = 7111721901
BaseRepresentation
bin1010000101011…
…1110111101001
32221121012202001
42201113313221
541312143303
64110411001
71022366140
oct241276751
987535661
1042302953
1121973920
1212200a61
1389c1b44
145892757
153aa931d
hex2857de9

42302953 has 24 divisors (see below), whose sum is σ = 56055744. Its totient is φ = 31008000.

The previous prime is 42302947. The next prime is 42302959. The reversal of 42302953 is 35920324.

It is an interprime number because it is at equal distance from previous prime (42302947) and next prime (42302959).

It is not a de Polignac number, because 42302953 - 213 = 42294761 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42302959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21303 + ... + 23203.

It is an arithmetic number, because the mean of its divisors is an integer number (2335656).

Almost surely, 242302953 is an apocalyptic number.

It is an amenable number.

42302953 is a deficient number, since it is larger than the sum of its proper divisors (13752791).

42302953 is a wasteful number, since it uses less digits than its factorization.

42302953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 42302953 is about 6504.0720321964. The cubic root of 42302953 is about 348.4364349663.

The spelling of 42302953 in words is "forty-two million, three hundred two thousand, nine hundred fifty-three".

Divisors: 1 7 11 17 77 119 187 289 1309 1901 2023 3179 13307 20911 22253 32317 146377 226219 355487 549389 2488409 3845723 6043279 42302953